The Ramanujan behavior is typically explained by the fact that the imaginary quadratic field $\mathbb{Q}(\sqrt{-163})$ has class number one (together with an integrality property of the j-function - see [Wikipedia][1]). Since there are only finitely many such imaginary quadratic fields, you can't really expect to have infinitely many similar phenomena (at least admitting a similar explanation). [1]: http://en.wikipedia.org/wiki/Heegner_number#Almost_integers_and_Ramanujan.27s_constant