Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2

Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?