According to Eddington, the exact number of protons in the universe, where 136 was the reciprocal of the fine structure constant as best
as it could be measured in his time.
The name "Eddington number" also has a separate, nonmathematical meaning in the sport of cycling, unrelated to the cosmological number above. In this usage,
it is the largest integer such that a cyclist has ridden at least miles on each of at least distinct days (Chandrasekhar 1983, p. 6).