137072502 has 144 divisors (see below), whose sum is σ = 374531040. Its totient is φ = 36013824.

The previous prime is 137072501. The next prime is 137072521. The reversal of 137072502 is 205270731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137072501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 588178 + ... + 588410.

It is an arithmetic number, because the mean of its divisors is an integer number (2600910).

Almost surely, 2^137072502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137072502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187265520).

137072502 is an abundant number, since it is smaller than the sum of its proper divisors (237458538).

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

137072502 is a wasteful number, since it uses less digits than its factorization.

137072502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137072502 is about 11707.7966330134. The cubic root of 137072502 is about 515.6045961292.

The spelling of 137072502 in words is "one hundred thirty-seven million, seventy-two thousand, five hundred two".