137622661632 has 320 divisors, whose sum is σ = 430543872000. Its totient is φ = 43316342784.

The previous prime is 137622661621. The next prime is 137622661651. The reversal of 137622661632 is 236166226731.

137622661632 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 2 + 6 + 6 + 1 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25115469 + ... + 25120947.

It is an arithmetic number, because the mean of its divisors is an integer number (1345449600).

Almost surely, 2^137622661632 is an apocalyptic number.

137622661632 is a gapful number since it is divisible by the number (12) 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 137622661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215271936000).

137622661632 is an abundant number, since it is smaller than the sum of its proper divisors (292921210368).

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

137622661632 is an equidigital number, since it uses as much as digits as its factorization.

137622661632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5586 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 137622661632 in words is "one hundred thirty-seven billion, six hundred twenty-two million, six hundred sixty-one thousand, six hundred thirty-two".