131696682872832 has 3744 divisors, whose sum is σ = 542990328019200. Its totient is φ = 31361192755200.

The previous prime is 131696682872831. The next prime is 131696682872837. The reversal of 131696682872832 is 238278286696131.

131696682872832 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 9 + 6 + 68 + 287 + 283 + 2 = 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 not an unprimeable number, because it can be changed into a prime (131696682872831) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4248280092657 + ... + 4248280092687.

Almost surely, 2^{131696682872832} is an apocalyptic number.

131696682872832 is a gapful number since it is divisible by the number (12) 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 131696682872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271495164009600).

131696682872832 is an abundant number, since it is smaller than the sum of its proper divisors (411293645146368).

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

131696682872832 is an equidigital number, since it uses as much as digits as its factorization.

131696682872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 73 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 131696682872832 in words is "one hundred thirty-one trillion, six hundred ninety-six billion, six hundred eighty-two million, eight hundred seventy-two thousand, eight hundred thirty-two".