The buyer is actor Simon Helberg of "The Big Bang Theory."
The restored 4,179-square-foot villa has four bedrooms and 41/2 bathrooms. A fountain stands in the tiled front courtyard of the Mediterranean-style home, built in 1927. Inside, the dramatic two-story entry has wood floors and a vaulted ceiling. The step-down living room features a fireplace and wood-beamed ceiling.
An eat-in kitchen, with stone floors and a center island, overlooks courtyards and the backyard, which has a swimming pool. A sweeping staircase leads to the master bedroom wing, the other bedrooms, an upstairs family room and outdoor terraces.
Mueller, 34, co-starred this year in the Paris Hilton reality show "The World According to Paris." She was on "Entertainment Tonight" in 2008 and 2009.
Sheen, 46, had starred on the sitcom "Two and a Half Men" since its 2003 launch, earning a reported $1.8 million per episode in 2010. He was fired earlier this year. His television and film credits include "Spin City" (2000-02) and "Wall Street" (1987).
Helberg, who recently sold a home in Los Angeles, is one of the five central characters in the ensemble comedy "The Big Bang Theory," which started in 2007. The 30-year-old starred in "Derek and Simon: The Show" (2007).
Public records show the property was purchased for $2.575 million in 2007, before the former couple's 2008 marriage. After the birth of twin sons in 2009, they listed the house at $3.697 million. Weeks or months may pass before sale prices appear in public records.