131586856896 has 224 divisors, whose sum is σ = 393440716800. Its totient is φ = 38447288320.

The previous prime is 131586856883. The next prime is 131586856903. The reversal of 131586856896 is 698658685131.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88135126 + ... + 88136618.

Almost surely, 2^131586856896 is an apocalyptic number.

131586856896 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 131586856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196720358400).

131586856896 is an abundant number, since it is smaller than the sum of its proper divisors (261853859904).

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

131586856896 is a wasteful number, since it uses less digits than its factorization.

131586856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 66.

The spelling of 131586856896 in words is "one hundred thirty-one billion, five hundred eighty-six million, eight hundred fifty-six thousand, eight hundred ninety-six".