Willis daughter to change name...

Bruce Willis and Demi Moore's teenage daughter Talullah is legally changing her name - because she has never liked the one her parents picked for her.

Willis went public with his 13-year-old's name-change plans during a taped appearance on The Late Show With David Letterman.

He revealed, "She wanted me to mention here on the big show that she's legally changing her name from Talullah to Lula, just Lula. She doesn't like her name."

And Willis has agreed to let his daughter go through with her plans - because he knows what it's like to grow up with a name you don't like.

He adds, "I didn't care for my name... especially after my father told me that he named me after Bruce Wayne, Playboy