Does the Statue of Liberty have a age?

Yes

between 135 and 146...she had to be reassembled once she arrived

"The Statue of Liberty Enlightening the World" was a gift of friendship from the people of France to the United States and is recognized as a universal symbol of freedom and democracy. The Statue of Liberty was dedicated on October 28, 1886.  It was designated as a National Monument in 1924.  Employees of the National Park Service have been caring for the colossal copper statue since 1933.