A Bronx cop had repeated sex with an underage prostitute — and filmed the illicit encounters, authorities said Tuesday.

Officer Raul Olmeda, 40, kept images of his trysts with the teen along with those of other women — and a Dropbox PowerPoint file titled “The List,” which included the names, birth dates and photos of all other women he slept with since 1989, officials said.

“Some of those women also appeared to be underage,” prosecutor Meagan Powers told the judge during Olmeda’s arraignment Tuesday afternoon in Bronx Supreme Court.

The cop’s dirty deeds came to light only during an unrelated search of his home as part of a tax-fraud case, when authorities discovered the X-rated footage, officials said.

Olmeda, wearing a black T-shirt and grey cargo pants, pleaded “not guilty” at the proceeding before he coughed and slumped his head.

According to prosecutors, he had sex five times with the teen between January and April.

“The defendant preyed on the vulnerable young woman and videotaped his demeaning and dehumanizing acts,” District Attorney Darcel Clark stated. “It is especially disturbing that these crimes are alleged against a member of the NYPD.”

Investigators didn’t discover the relationship until March, when they obtained a warrant to search his home in the tax case, officials said. Olmeda allegedly filed falsified state and federal tax returns for numerous individuals and amassed more than $200,000 that he deposited in a bank account, authorities allege.

During the raid on his home, agents seized computers, cell phones, video cameras and several encrypted hard drives. Closer inspection revealed the X-rated footage.

After learning of the sex probe, Olmeda allegedly tried to interfere in the case by pressuring the teenage prostitute not to talk to cops and logging into private NYPD databases to access information on the Internal Affairs probe. His Dropbox account included one file titled “My Investigation,” prosecutors said.

Olmeda has been a cop for four years and was assigned to the 42nd Precinct before he was stripped of his gun and badge.

His union lawyer, Stuart London, disputed the prosecution’s claims.

“My client will be back to fight these charges because he vehemently denies them from the bottom of his feet to the top of his head,” London said, adding, “This isn’t numerous underage women. It seems to be one underage woman whose credibility we don’t know at all.”

London described Olmeda as a lifelong resident of The Bronx, a devoted cop and longtime caretaker to his mother. He is also engaged to a 32-year-old woman with a brain tumor, the lawyer said.

Olmeda was charged with numerous felonies, including five counts of third-degree rape and five counts of use of child in a sexual performance. He faces up to 15 years in prison on the top charge.

“The fact that the defendant is an NYPD officer evidences an unconscionable violation of his oath to uphold the law and protect the public,” NYPD Commissioner James O’Neill said.

The judge set bail at $250,000, half of the amount prosecutors requested.

Olmeda still couldn’t afford bail Tuesday, though an alleged co-conspirator in the tax case, who attended the arraignment, was offering to pay it. A follow-up hearing will be held Monday.