137328656 has 40 divisors (see below), whose sum is σ = 282362880. Its totient is φ = 64520064.

The previous prime is 137328647. The next prime is 137328677. The reversal of 137328656 is 656823731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36830 + ... + 40386.

It is an arithmetic number, because the mean of its divisors is an integer number (7059072).

Almost surely, 2^137328656 is an apocalyptic number.

137328656 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 137328656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141181440).

137328656 is an abundant number, since it is smaller than the sum of its proper divisors (145034224).

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

137328656 is a wasteful number, since it uses less digits than its factorization.

137328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3705 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 137328656 is about 11718.7309893179. The cubic root of 137328656 is about 515.9255746673.

The spelling of 137328656 in words is "one hundred thirty-seven million, three hundred twenty-eight thousand, six hundred fifty-six".