An enraged Hillary Rodham Clinton blew up at President Obama, demanding he “call off your f–king dogs” looking into her emails during a tense Oval Office meeting, according to a new book.

The book, “Unlikeable: The Problem with Hillary,” says the former first lady was furious at what she believed were damaging leaks by Obama aides that led to investigations of her use of a private email server as secretary of state. So she went right to the top to settle the matter.

Clinton requested a meeting with Obama, against the advice of hubby Bill Clinton, believing “she was being persecuted for minor, meaningless violations,” author Edward Klein writes.

Clinton initially took a friendly approach during the meeting and Obama reacted as if he didn’t know what she was talking about, the book claims.

“He was almost being deliberately dense,” a Clinton source said. “It really angered her.”

Clinton lost her temper and called the president by his first name in an emotionally driven break with White House decorum, according to the book.

“What I want for you to do is call off your f–king dogs, Barack!” Clinton allegedly barked at Obama, according to Klein’s account, which cited sources close to Clinton and Obama senior adviser Valerie Jarrett.

The president was so stunned by Clinton’s disrespectful demands, he needed a moment to compose himself, the book claims.

Obama then responded, “There is nothing I can do for you one way or another. Things have been set in motion, and I can’t and won’t interfere. Your problems are, frankly, of your own making. If you had been honest . . .”

Klein reports Clinton interrupted, “There are always haters out there to get the Clintons.”

The Democratic 2016 front-runner is said to have later regretted her tirade against the president — not for the disrespect she showed, but for the weakness she displayed.

The Post obtained an excerpt of the book, which is being released Monday.

Nick Merrill, Clinton’s spokesman, called Klein’s account “bulls–t.”

“Another book? Someone should do a book about Ed,” said Merrill. “They could call it ‘Bulls–t: The Problem with Anything Ed Klein Writes.’

“The only true thing about him is his consistent and utter lack of a relationship with the facts,” Merrill said. “He has more hair than credibility, and the man is bald. So we’re not going to get down in the gutter with him and his outrageous fabrications.”

In another section of the book, Klein says Clinton faces “mounting health issues” — and is secretly worried she’s too sick to run for president, according to an excerpt posted by Radar Online.

The 67-year-old former first lady and New York senator has been “frequently plagued” by “blinding headaches,” according to Klein.

“For the first time since I’ve known her, she’s showing self-doubt about her strength and vitality,” a friend of Clinton’s allegedly told Klein, who has written about the Obamas and Kennedys in the past.

The presidential candidate has also been battling insomnia that has “worried her, because it sapped her energy just when she needed it most for the campaign,” Klein writes.

In late 2012, Clinton suffered from a life-threatening blood clot on her brain that left her “constantly worried” she would develop another one, according to Klein.

But Clinton insists she’s in good health and last summer released a medical evaluation from her personal physician, Dr. Lisa Bardack of Mount Kisco in Westchester County, attesting to her fitness to serve as president.