137656896 has 112 divisors (see below), whose sum is σ = 396166848. Its totient is φ = 41932800.

The previous prime is 137656877. The next prime is 137656921. The reversal of 137656896 is 698656731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326766 + ... + 327186.

It is an arithmetic number, because the mean of its divisors is an integer number (3537204).

Almost surely, 2^137656896 is an apocalyptic number.

137656896 is a gapful number since it is divisible by the number (16) 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 137656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198083424).

137656896 is an abundant number, since it is smaller than the sum of its proper divisors (258509952).

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

137656896 is a wasteful number, since it uses less digits than its factorization.

137656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 137656896 is about 11732.7275601200. The cubic root of 137656896 is about 516.3362990102.

The spelling of 137656896 in words is "one hundred thirty-seven million, six hundred fifty-six thousand, eight hundred ninety-six".