137072952 has 32 divisors (see below), whose sum is σ = 380758800. Its totient is φ = 45690912.

The previous prime is 137072941. The next prime is 137072959. The reversal of 137072952 is 259270731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137072959) 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, 317083 + ... + 317514.

Almost surely, 2^137072952 is an apocalyptic number.

137072952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137072952 is an abundant number, since it is smaller than the sum of its proper divisors (243685848).

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

137072952 is a wasteful number, since it uses less digits than its factorization.

137072952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634612 (or 634602 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 137072952 is about 11707.8158509604. The cubic root of 137072952 is about 515.6051603606.

The spelling of 137072952 in words is "one hundred thirty-seven million, seventy-two thousand, nine hundred fifty-two".