137875104 has 72 divisors (see below), whose sum is σ = 404756352. Its totient is φ = 44472960.

The previous prime is 137875097. The next prime is 137875139. The reversal of 137875104 is 401578731.

137875104 is a `hidden beast` number, since 137 + 8 + 7 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 1207 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (5621616).

Almost surely, 2^137875104 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 137875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378176).

137875104 is an abundant number, since it is smaller than the sum of its proper divisors (266881248).

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

137875104 is a wasteful number, since it uses less digits than its factorization.

137875104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 137875104 is about 11742.0229943566. The cubic root of 137875104 is about 516.6089799393.

The spelling of 137875104 in words is "one hundred thirty-seven million, eight hundred seventy-five thousand, one hundred four".