137038825 has 48 divisors (see below), whose sum is σ = 213450624. Its totient is φ = 84787200.

The previous prime is 137038801. The next prime is 137038831. The reversal of 137038825 is 528830731.

It is not a de Polignac number, because 137038825 - 2¹¹ = 137036777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494587 + ... + 494863.

It is an arithmetic number, because the mean of its divisors is an integer number (4446888).

Almost surely, 2^137038825 is an apocalyptic number.

It is an amenable number.

137038825 is a deficient number, since it is larger than the sum of its proper divisors (76411799).

137038825 is a wasteful number, since it uses less digits than its factorization.

137038825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 137038825 is about 11706.3583150355. The cubic root of 137038825 is about 515.5623668030.

The spelling of 137038825 in words is "one hundred thirty-seven million, thirty-eight thousand, eight hundred twenty-five".