131207636456160 has 768 divisors, whose sum is σ = 495400872960000. Its totient is φ = 28814437048320.

The previous prime is 131207636456093. The next prime is 131207636456177. The reversal of 131207636456160 is 61654636702131.

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 127 ways as a sum of consecutive naturals, for example, 9273272766 + ... + 9273286914.

It is an arithmetic number, because the mean of its divisors is an integer number (645053220000).

Almost surely, 2^{131207636456160} is an apocalyptic number.

131207636456160 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 131207636456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247700436480000).

131207636456160 is an abundant number, since it is smaller than the sum of its proper divisors (364193236503840).

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

131207636456160 is a wasteful number, since it uses less digits than its factorization.

131207636456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18239 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 131207636456160 in words is "one hundred thirty-one trillion, two hundred seven billion, six hundred thirty-six million, four hundred fifty-six thousand, one hundred sixty".