137088391680 has 1120 divisors, whose sum is σ = 543415554000. Its totient is φ = 32997113856.

The previous prime is 137088391667. The next prime is 137088391721. The reversal of 137088391680 is 86193880731.

137088391680 is a `hidden beast` number, since 1 + 370 + 88 + 39 + 168 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51047076096 + 86041315584 = 225936^2 + 293328^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 920056246 + ... + 920056394.

Almost surely, 2^137088391680 is an apocalyptic number.

137088391680 is a gapful number since it is divisible by the number (10) 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 137088391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271707777000).

137088391680 is an abundant number, since it is smaller than the sum of its proper divisors (406327162320).

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

137088391680 is an equidigital number, since it uses as much as digits as its factorization.

137088391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 137088391680 in words is "one hundred thirty-seven billion, eighty-eight million, three hundred ninety-one thousand, six hundred eighty".