131689831665600 has 672 divisors, whose sum is σ = 517261070672640. Its totient is φ = 32398696673280.

The previous prime is 131689831665593. The next prime is 131689831665629. The reversal of 131689831665600 is 6566138986131.

131689831665600 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 9 + 8 + 3 + 1 + 66 + 560 + 0 = 666.

It is a super-2 number, since 2×131689831665600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070909719 + ... + 1071032681.

It is an arithmetic number, because the mean of its divisors is an integer number (769733736120).

Almost surely, 2^{131689831665600} is an apocalyptic number.

131689831665600 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 131689831665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258630535336320).

131689831665600 is an abundant number, since it is smaller than the sum of its proper divisors (385571239007040).

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

131689831665600 is a wasteful number, since it uses less digits than its factorization.

131689831665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124914 (or 124893 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 131689831665600 in words is "one hundred thirty-one trillion, six hundred eighty-nine billion, eight hundred thirty-one million, six hundred sixty-five thousand, six hundred".