131840061696 has 864 divisors, whose sum is σ = 485418931200. Its totient is φ = 35115171840.

The previous prime is 131840061677. The next prime is 131840061709. The reversal of 131840061696 is 696160048131.

131840061696 is a `hidden beast` number, since 13 + 18 + 4 + 0 + 0 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304480296 + ... + 304480728.

Almost surely, 2^131840061696 is an apocalyptic number.

131840061696 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 131840061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242709465600).

131840061696 is an abundant number, since it is smaller than the sum of its proper divisors (353578869504).

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

131840061696 is a wasteful number, since it uses less digits than its factorization.

131840061696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 505 counting only the distinct ones).

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

The spelling of 131840061696 in words is "one hundred thirty-one billion, eight hundred forty million, sixty-one thousand, six hundred ninety-six".