131376675705408 has 2240 divisors, whose sum is σ = 501682736332800. Its totient is φ = 33130433064960.

The previous prime is 131376675705377. The next prime is 131376675705413. The reversal of 131376675705408 is 804507576673131.

131376675705408 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 6 + 6 + 7 + 570 + 54 + 0 + 8 = 666.

It is a super-2 number, since 2×131376675705408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 267569604043 + ... + 267569604533.

Almost surely, 2^{131376675705408} is an apocalyptic number.

131376675705408 is a gapful number since it is divisible by the number (18) 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 131376675705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250841368166400).

131376675705408 is an abundant number, since it is smaller than the sum of its proper divisors (370306060627392).

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

131376675705408 is a wasteful number, since it uses less digits than its factorization.

131376675705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 131376675705408 in words is "one hundred thirty-one trillion, three hundred seventy-six billion, six hundred seventy-five million, seven hundred five thousand, four hundred eight".