137572032 has 56 divisors (see below), whose sum is σ = 391999216. Its totient is φ = 42329088.

The previous prime is 137571953. The next prime is 137572033. The reversal of 137572032 is 230275731.

It is not an unprimeable number, because it can be changed into a prime (137572033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25063 + ... + 30054.

It is an arithmetic number, because the mean of its divisors is an integer number (6999986).

Almost surely, 2^137572032 is an apocalyptic number.

137572032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137572032 is an abundant number, since it is smaller than the sum of its proper divisors (254427184).

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

137572032 is a wasteful number, since it uses less digits than its factorization.

137572032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55145 (or 55135 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 137572032 is about 11729.1104522040. The cubic root of 137572032 is about 516.2301719349.

The spelling of 137572032 in words is "one hundred thirty-seven million, five hundred seventy-two thousand, thirty-two".