What is the name of a song Bender from Futurama whistles at the end of one of the episodes?

Answer 1

I assume you're referring to the episode with the time skips (the name of the episode has passed me).

Bender whistles the Globetrotters theme song.

Answer 2

The song Bender whistles at the end of one of the episodes was the 1925 classic, "Sweet Georgia Brown", a song associated with the Basketball team the Harlem Globetrotters. Now, reportedly Ben Bernie (the composer of the song) came up with the concept for the song's lyrics – although he is not the accredited lyricist – after meeting Dr. George Thaddeus Brown in New York City: Dr. Brown, a longtime member of the State House of Representatives for Georgia, told Bernie about Dr. Brown's daughter Georgia Brown and how subsequent to the baby girl's birth on August 11, 1911 the Georgia General Assembly had issued a declaration that she was to be named Georgia after the state, an anecdote which would be directly referenced by the song's lyric: "Georgia claimed her – Georgia named her." (This info came from Wikipedia) Here are some examples, the last one is Bender:

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/watch?v=YYz-YG0xH70

/watch?v=SISC186P0QA

/watch?v=9IGmu4-YVTc