131235851376 has 400 divisors, whose sum is σ = 443710291200. Its totient is φ = 36823901184.

The previous prime is 131235851347. The next prime is 131235851393. The reversal of 131235851376 is 673158532131.

131235851376 is a `hidden beast` number, since 1 + 3 + 12 + 3 + 58 + 513 + 76 = 666.

It is a super-2 number, since 2×131235851376² (a number of 23 digits) contains 22 as substring.

Its product of digits (453600) is a multiple of the sum of its prime divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130064760 + ... + 130065768.

It is an arithmetic number, because the mean of its divisors is an integer number (1109275728).

Almost surely, 2^131235851376 is an apocalyptic number.

131235851376 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 131235851376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221855145600).

131235851376 is an abundant number, since it is smaller than the sum of its proper divisors (312474439824).

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

131235851376 is an frugal number, since it uses more digits than its factorization.

131235851376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1080 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 131235851376 in words is "one hundred thirty-one billion, two hundred thirty-five million, eight hundred fifty-one thousand, three hundred seventy-six".