137112432504 has 128 divisors (see below), whose sum is σ = 365434944000. Its totient is φ = 42747346944.

The previous prime is 137112432493. The next prime is 137112432517. The reversal of 137112432504 is 405234211731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19148877 + ... + 19156035.

It is an arithmetic number, because the mean of its divisors is an integer number (2854960500).

Almost surely, 2^137112432504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137112432504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182717472000).

137112432504 is an abundant number, since it is smaller than the sum of its proper divisors (228322511496).

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

137112432504 is a wasteful number, since it uses less digits than its factorization.

137112432504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 137112432504 in words is "one hundred thirty-seven billion, one hundred twelve million, four hundred thirty-two thousand, five hundred four".