131166792 has 96 divisors (see below), whose sum is σ = 374774400. Its totient is φ = 41361408.

The previous prime is 131166787. The next prime is 131166793. The reversal of 131166792 is 297661131.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (131166793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170184 + ... + 170952.

It is an arithmetic number, because the mean of its divisors is an integer number (3903900).

Almost surely, 2^131166792 is an apocalyptic number.

131166792 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 131166792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187387200).

131166792 is an abundant number, since it is smaller than the sum of its proper divisors (243607608).

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

131166792 is a wasteful number, since it uses less digits than its factorization.

131166792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 131166792 is about 11452.8071668041. The cubic root of 131166792 is about 508.0907622978.

The spelling of 131166792 in words is "one hundred thirty-one million, one hundred sixty-six thousand, seven hundred ninety-two".