According to Page Six, a new book claims Alex Rodriguez had three-ways with prostitutes while dating Cameron Diaz Credit: Jim McIsaac/Getty Images

Alex Rodriguez's reputation has taken quite a beating this year -- and it looks like things are about to get even worse for the athlete. According to a new report by Richard Johnson of the New York Post's Page Six, the Yankee slugger is the subject of some nasty allegations in Michael Gross' upcoming book House of Outrageous Fortune: Fifteen Central Park West, The World's Most Powerful Address

Among the stories in the tome, due in March 2014, is a claim that Rodriguez, 38, enjoyed the company of prostitutes, often two at a time. Page Six reports that a building worker in the pricey tower told Gross that the baseball player "got hookers all the time. Usually two at a time, two times a week."

One time, the worker reportedly said, "he had two go up, they came down and left, and 10 minutes later, Cameron Diaz walks in." (Rodriguez and the Bad Teacher actress dated in 2010 and 2011; he also romanced Madonna and Kate Hudson.)

Another worker told Gross: "He was a douche, an unfriendly narcissist. I hate the guy. He thought he was God."

A-Rod's spokesman, Ron Berkowitz, denies that his client engaged in three-ways with hookers, and calls the claims "false" and "defamatory." "The allegations concerning prostitutes are 100 percent false, and therefore the author of the book cannot possibly have a single shred of evidence to back them up," Berkowitz tells Us Weekly. "Furthermore, they are defamatory –- even of a public figure, as they include untrue allegations of criminal activity, as well as infidelity. It's comical that we even have to waste our time responding to such stories, but not surprising, as certain people have an agenda against Alex."