131921146368 has 840 divisors, whose sum is σ = 456844760064. Its totient is φ = 37936926720.

The previous prime is 131921146339. The next prime is 131921146397. The reversal of 131921146368 is 863641129131.

131921146368 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 2 + 1 + 1 + 4 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (131921146339) and next prime (131921146397).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1038749121 + ... + 1038749247.

Almost surely, 2^131921146368 is an apocalyptic number.

131921146368 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 131921146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228422380032).

131921146368 is an abundant number, since it is smaller than the sum of its proper divisors (324923613696).

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

131921146368 is an equidigital number, since it uses as much as digits as its factorization.

131921146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 131921146368 in words is "one hundred thirty-one billion, nine hundred twenty-one million, one hundred forty-six thousand, three hundred sixty-eight".