33973125138 has 40 divisors (see below), whose sum is σ = 76135487868. Its totient is φ = 11322809856.

The previous prime is 33973125119. The next prime is 33973125139. The reversal of 33973125138 is 83152137933.

33973125138 is a `hidden beast` number, since 3 + 397 + 3 + 1 + 251 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33831348489 + 141776649 = 183933^2 + 11907^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33973125093 and 33973125102.

It is not an unprimeable number, because it can be changed into a prime (33973125139) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2246370 + ... + 2261442.

Almost surely, 2^33973125138 is an apocalyptic number.

33973125138 is an abundant number, since it is smaller than the sum of its proper divisors (42162362730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33973125138 is a wasteful number, since it uses less digits than its factorization.

33973125138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29000 (or 28991 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 33973125138 in words is "thirty-three billion, nine hundred seventy-three million, one hundred twenty-five thousand, one hundred thirty-eight".