131493686688 has 1440 divisors, whose sum is σ = 525862592640. Its totient is φ = 31442411520.

The previous prime is 131493686657. The next prime is 131493686693. The reversal of 131493686688 is 886686394131.

131493686688 is a `hidden beast` number, since 1 + 3 + 1 + 493 + 6 + 8 + 66 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2155634178 + ... + 2155634238.

It is an arithmetic number, because the mean of its divisors is an integer number (365182356).

Almost surely, 2^131493686688 is an apocalyptic number.

131493686688 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 131493686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262931296320).

131493686688 is an abundant number, since it is smaller than the sum of its proper divisors (394368905952).

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

131493686688 is a wasteful number, since it uses less digits than its factorization.

131493686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 131493686688 in words is "one hundred thirty-one billion, four hundred ninety-three million, six hundred eighty-six thousand, six hundred eighty-eight".