131871614486976 has 560 divisors, whose sum is σ = 485882219739840. Its totient is φ = 34434964684800.

The previous prime is 131871614486947. The next prime is 131871614487013. The reversal of 131871614486976 is 679684416178131.

131871614486976 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 71 + 6 + 1 + 4 + 486 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 46262280 + ... + 49030008.

It is an arithmetic number, because the mean of its divisors is an integer number (867646820964).

Almost surely, 2^{131871614486976} is an apocalyptic number.

131871614486976 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 131871614486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242941109869920).

131871614486976 is an abundant number, since it is smaller than the sum of its proper divisors (354010605252864).

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

131871614486976 is a wasteful number, since it uses less digits than its factorization.

131871614486976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767874 (or 2767855 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 131871614486976 in words is "one hundred thirty-one trillion, eight hundred seventy-one billion, six hundred fourteen million, four hundred eighty-six thousand, nine hundred seventy-six".