137755904 has 144 divisors (see below), whose sum is σ = 333777024. Its totient is φ = 55910400.

The previous prime is 137755903. The next prime is 137755907. The reversal of 137755904 is 409557731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137755903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1940189 + ... + 1940259.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896).

Almost surely, 2^137755904 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 137755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166888512).

137755904 is an abundant number, since it is smaller than the sum of its proper divisors (196021120).

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

137755904 is a wasteful number, since it uses less digits than its factorization.

137755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 137755904 is about 11736.9461104667. The cubic root of 137755904 is about 516.4600588181.

The spelling of 137755904 in words is "one hundred thirty-seven million, seven hundred fifty-five thousand, nine hundred four".