131886640005120 has 6080 divisors, whose sum is σ = 681411099511296. Its totient is φ = 23482733690880.

The previous prime is 131886640005097. The next prime is 131886640005247. The reversal of 131886640005120 is 21500046688131.

131886640005120 is a `hidden beast` number, since 1 + 3 + 18 + 86 + 6 + 40 + 0 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1806666301404 + ... + 1806666301476.

Almost surely, 2^{131886640005120} is an apocalyptic number.

131886640005120 is a gapful number since it is divisible by the number (10) 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 131886640005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340705549755648).

131886640005120 is an abundant number, since it is smaller than the sum of its proper divisors (549524459506176).

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

131886640005120 is an equidigital number, since it uses as much as digits as its factorization.

131886640005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 131886640005120 in words is "one hundred thirty-one trillion, eight hundred eighty-six billion, six hundred forty million, five thousand, one hundred twenty".