131162622192 has 600 divisors, whose sum is σ = 466441351200. Its totient is φ = 35407798272.

The previous prime is 131162622163. The next prime is 131162622209. The reversal of 131162622192 is 291226261131.

131162622192 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 626 + 2 + 21 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 129992184 + ... + 129993192.

It is an arithmetic number, because the mean of its divisors is an integer number (777402252).

Almost surely, 2^131162622192 is an apocalyptic number.

131162622192 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 131162622192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233220675600).

131162622192 is an abundant number, since it is smaller than the sum of its proper divisors (335278729008).

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

131162622192 is a wasteful number, since it uses less digits than its factorization.

131162622192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1133 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 131162622192 in words is "one hundred thirty-one billion, one hundred sixty-two million, six hundred twenty-two thousand, one hundred ninety-two".