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{{#invoke:Infobox|infobox}} 137 Meliboea is a large, dark main-belt asteroid that was discovered by Austrian astronomer J. Palisa on April 21, 1874, the second of his many asteroid discoveries, and named after one of the three Meliboeas in Greek mythology. The largest body in the Meliboea family of asteroids that share similar orbital elements, only 791 Ani approaches its size. It is classified as a C-type asteroid and may be composed of carbonaceous materials.

Photometric observations of this asteroid made at the Torino Observatory in Italy during 1990–1991 were used to determine a synodic rotation period of 15.28 ± 0.02 hours.<ref name="diMartino1994"/> A 2009 study at the Organ Mesa Observatory in Las Cruces, New Mexico found a period of 25.676 ± 0.001 hours and a brightness variation of 0.16 ± 0.02 in magnitude. They ruled out a period of 15 hours determined in previous studies.<ref name="Pilcher2009"/>

During 2002, 137 Meliboea was observed by radar from the Arecibo Observatory. The return signal matched an effective diameter of 144 ± 16 km. This is consistent with the asteroid dimensions computed through other means.<ref name="icarus186_1_126"/>


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