131883558912 has 768 divisors, whose sum is σ = 478033920000. Its totient is φ = 35115171840.

The previous prime is 131883558899. The next prime is 131883558967. The reversal of 131883558912 is 219855388131.

131883558912 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 83 + 558 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×131883558912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 347977539 + ... + 347977917.

It is an arithmetic number, because the mean of its divisors is an integer number (622440000).

Almost surely, 2^131883558912 is an apocalyptic number.

131883558912 is a gapful number since it is divisible by the number (12) 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 131883558912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960000).

131883558912 is an abundant number, since it is smaller than the sum of its proper divisors (346150361088).

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

131883558912 is a wasteful number, since it uses less digits than its factorization.

131883558912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 451 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

It can be divided in two parts, 13188 and 3558912, that added together give a square (3572100 = 1890²).

The spelling of 131883558912 in words is "one hundred thirty-one billion, eight hundred eighty-three million, five hundred fifty-eight thousand, nine hundred twelve".