131813847360 has 168 divisors, whose sum is σ = 488260598280. Its totient is φ = 32446476288.

The previous prime is 131813847311. The next prime is 131813847379. The reversal of 131813847360 is 63748318131.

131813847360 is a `hidden beast` number, since 13 + 1 + 81 + 38 + 473 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3695667264 + 128118180096 = 60792^2 + 357936^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722895 + ... + 1797774.

It is an arithmetic number, because the mean of its divisors is an integer number (2906313085).

Almost surely, 2^131813847360 is an apocalyptic number.

131813847360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131813847360 is an abundant number, since it is smaller than the sum of its proper divisors (356446750920).

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

131813847360 is a wasteful number, since it uses less digits than its factorization.

131813847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520705 (or 3520692 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 131813847360 in words is "one hundred thirty-one billion, eight hundred thirteen million, eight hundred forty-seven thousand, three hundred sixty".