Lin-Manuel Miranda’s Broadway musical “Hamilton” is hands down the hottest show in town.

A-list celebrities like Paul McCartney, Meryl Streep and even President Obama have flocked to the show about Founding Father Alexander Hamilton (who also founded The Post). And the hip-hop history lesson is almost completely sold out through the end of the year, with prime seats going for more than $1,000 a pop on StubHub.

Don’t have that kind of cash, but still jones-ing for some Hamilton action? Check out the guy’s actual house — Hamilton Grange, the West 141st Street pad where he lived from 1802 until his death in 1804. It’s free.

The musical has heightened interest in the historic Harlem house, which has seen a spike in attendance.

“Significant numbers of visitors have mentioned the show and talk to us about it when they are here,” says Liam Strain, the district ranger who supervises the splendid three-story country home. “There’s definitely buzz.”

The Grange, the only house Hamilton ever had built, is considered such an uptown treasure that, in order to preserve it, the 298-ton, 213-year-old home has been physically relocated twice.

The last time was from an ugly nook on Convent Avenue and 141st Street, where it was barely visible to passers-by. Since it reopened in 2011, it has sat beautifully on a hill in the idyllic St. Nicholas Park in Harlem’s Hamilton Heights section.

Open Wednesday through Sunday, there are hourlong tours, with informative commentary from the staff about Hamilton’s life and the features of the house, which includes five restored rooms and a nifty ground-floor museum.

Nineteenth-century décor tip: Hamilton installed

mirrors on the doors of his dining room to take advantage of the views of the East River.

Even out-of-towners are heading to the house because of Miranda’s show. “What I’m finding is that the new musical is really building up a lot of interest in Alexander Hamilton,” says Jay Lutz, 40, a high school history teacher from Kennesaw, Ga., who toured the Grange with his 8-year-old son, George.

“I teach in a low-income school in Atlanta, and [the students] are hearing about it down there, and we’re showing them the YouTube clips. And it’s really clicking with them.” But this father found he couldn’t snag seats to the hot show he’s promoting in class. “I couldn’t believe the prices for the tickets! It’s really, really nuts,” he says.

For Broadway geeks, there is one special feature of the Grange that will stop ’em in their tracks. In the musical, Hamilton’s son Philip (played by Anthony Ramos), who died at age 19 in a duel in New Jersey, learns to play the pianoforte (an early version of the piano). The actual pianoforte that was present throughout Philip’s childhood sits in the parlor of the Grange’s second floor.

Of course, the whole place is catnip for history nerds, too. One recent visitor, Susan Norman of Birmingham, Ala., made the show and the Grange a part of an Alexander Hamilton vacation.

“This trip to New York was inspired by wanting to see the ‘Hamilton’ Broadway show,” says Norman, adding her short review: “It’s great!”

Other recent visitors felt the same way.

“I didn’t know much about him until I saw the musical,” says Inda Craig-Galván, a 47-year-old screenwriter from California. At the Grange, she saw herself in Hamilton’s passion and his love of words. “I was almost in tears in the writing room over there. I don’t want to leave.”

Hamilton, author of “The Federalist Papers,” was a notably prolific writer. In the musical his eventual killer, Aaron Burr (played by Leslie Odom Jr.), sings, “Why do you write like you’re running out of time? Write day and night like you’re running out of time?”

“I am amazed that he did so much political stuff and was in the Army, but he was always writing these letters,” Craig-Galván says.

“Just knowing that they lived in these rooms,” she muses. “It’s chilling.”