137795904 has 140 divisors (see below), whose sum is σ = 430276000. Its totient is φ = 43483392.

The previous prime is 137795893. The next prime is 137795981. The reversal of 137795904 is 409597731.

It is a super-2 number, since 2×137795904² = 37975422318354432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137795904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97797 + ... + 99195.

It is an arithmetic number, because the mean of its divisors is an integer number (3073400).

Almost surely, 2^137795904 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 137795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215138000).

137795904 is an abundant number, since it is smaller than the sum of its proper divisors (292480096).

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

137795904 is a wasteful number, since it uses less digits than its factorization.

137795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1423 counting only the distinct ones).

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

The square root of 137795904 is about 11738.6500075605. The cubic root of 137795904 is about 516.5100419225.

It can be divided in two parts, 13779 and 5904, that added together give a 9-th power (19683 = 3⁹).

The spelling of 137795904 in words is "one hundred thirty-seven million, seven hundred ninety-five thousand, nine hundred four".