137075172 has 96 divisors (see below), whose sum is σ = 358162560. Its totient is φ = 40535040.

The previous prime is 137075167. The next prime is 137075179. The reversal of 137075172 is 271570731.

It is not an unprimeable number, because it can be changed into a prime (137075179) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 487672 + ... + 487952.

It is an arithmetic number, because the mean of its divisors is an integer number (3730860).

Almost surely, 2^137075172 is an apocalyptic number.

137075172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137075172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179081280).

137075172 is an abundant number, since it is smaller than the sum of its proper divisors (221087388).

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

137075172 is a wasteful number, since it uses less digits than its factorization.

137075172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 137075172 is about 11707.9106590373. The cubic root of 137075172 is about 515.6079438839.

The spelling of 137075172 in words is "one hundred thirty-seven million, seventy-five thousand, one hundred seventy-two".