131512260096 has 640 divisors, whose sum is σ = 477086607360. Its totient is φ = 34947956736.

The previous prime is 131512260053. The next prime is 131512260127. The reversal of 131512260096 is 690062215131.

131512260096 is a `hidden beast` number, since 1 + 31 + 5 + 12 + 2 + 600 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131512260096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82348770 + ... + 82350366.

It is an arithmetic number, because the mean of its divisors is an integer number (745447824).

Almost surely, 2^131512260096 is an apocalyptic number.

131512260096 is a gapful number since it is divisible by the number (16) 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 131512260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238543303680).

131512260096 is an abundant number, since it is smaller than the sum of its proper divisors (345574347264).

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

131512260096 is a wasteful number, since it uses less digits than its factorization.

131512260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 131512260096 in words is "one hundred thirty-one billion, five hundred twelve million, two hundred sixty thousand, ninety-six".