131955268608000 has 2688 divisors, whose sum is σ = 527045125800960. Its totient is φ = 31614566400000.

The previous prime is 131955268607993. The next prime is 131955268608041. The reversal of 131955268608000 is 806862559131.

131955268608000 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 5 + 5 + 26 + 8 + 608 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 490540031866 + ... + 490540032134.

Almost surely, 2^{131955268608000} is an apocalyptic number.

131955268608000 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 131955268608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263522562900480).

131955268608000 is an abundant number, since it is smaller than the sum of its proper divisors (395089857192960).

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

131955268608000 is a wasteful number, since it uses less digits than its factorization.

131955268608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 131955268608000 in words is "one hundred thirty-one trillion, nine hundred fifty-five billion, two hundred sixty-eight million, six hundred eight thousand".