131764882314960 has 800 divisors, whose sum is σ = 470395490476032. Its totient is φ = 34165625195520.

The previous prime is 131764882314853. The next prime is 131764882314971. The reversal of 131764882314960 is 69413288467131.

131764882314960 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 6 + 488 + 2 + 3 + 149 + 6 + 0 = 666.

It is a super-2 number, since 2×131764882314960² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99295313817 + ... + 99295315143.

Almost surely, 2^{131764882314960} is an apocalyptic number.

131764882314960 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 131764882314960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235197745238016).

131764882314960 is an abundant number, since it is smaller than the sum of its proper divisors (338630608161072).

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

131764882314960 is a wasteful number, since it uses less digits than its factorization.

131764882314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 131764882314960 in words is "one hundred thirty-one trillion, seven hundred sixty-four billion, eight hundred eighty-two million, three hundred fourteen thousand, nine hundred sixty".