131957345520 has 480 divisors, whose sum is σ = 595010916864. Its totient is φ = 25310361600.

The previous prime is 131957345501. The next prime is 131957345543. The reversal of 131957345520 is 25543759131.

131957345520 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 573 + 4 + 55 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 629175 + ... + 812265.

Almost surely, 2^131957345520 is an apocalyptic number.

131957345520 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 131957345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297505458432).

131957345520 is an abundant number, since it is smaller than the sum of its proper divisors (463053571344).

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

131957345520 is a wasteful number, since it uses less digits than its factorization.

131957345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183141 (or 183132 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 131957345520 in words is "one hundred thirty-one billion, nine hundred fifty-seven million, three hundred forty-five thousand, five hundred twenty".