137472504 has 64 divisors (see below), whose sum is σ = 371280000. Its totient is φ = 42166656.

The previous prime is 137472493. The next prime is 137472527. The reversal of 137472504 is 405274731.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 155247 + ... + 156129.

It is an arithmetic number, because the mean of its divisors is an integer number (5801250).

Almost surely, 2^137472504 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 137472504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640000).

137472504 is an abundant number, since it is smaller than the sum of its proper divisors (233807496).

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

137472504 is a wasteful number, since it uses less digits than its factorization.

137472504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 137472504 is about 11724.8669075602. The cubic root of 137472504 is about 516.1056511025.

The spelling of 137472504 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, five hundred four".