137579904 has 384 divisors, whose sum is σ = 520934400. Its totient is φ = 34974720.

The previous prime is 137579903. The next prime is 137579927. The reversal of 137579904 is 409975731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137579904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137579903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2927209 + ... + 2927255.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2^137579904 is an apocalyptic number.

137579904 is a gapful number since it is divisible by the number (14) 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 137579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

137579904 is an abundant number, since it is smaller than the sum of its proper divisors (383354496).

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

137579904 is a wasteful number, since it uses less digits than its factorization.

137579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 137579904 is about 11729.4460227242. The cubic root of 137579904 is about 516.2400181378.

The spelling of 137579904 in words is "one hundred thirty-seven million, five hundred seventy-nine thousand, nine hundred four".