131631792 has 80 divisors (see below), whose sum is σ = 352438752. Its totient is φ = 42301440.

The previous prime is 131631781. The next prime is 131631793. The reversal of 131631792 is 297136131.

It is not an unprimeable number, because it can be changed into a prime (131631793) 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 15 ways as a sum of consecutive naturals, for example, 243042 + ... + 243582.

Almost surely, 2^131631792 is an apocalyptic number.

131631792 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 131631792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176219376).

131631792 is an abundant number, since it is smaller than the sum of its proper divisors (220806960).

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

131631792 is a wasteful number, since it uses less digits than its factorization.

131631792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 131631792 is about 11473.0899063853. The cubic root of 131631792 is about 508.6904658204.

The spelling of 131631792 in words is "one hundred thirty-one million, six hundred thirty-one thousand, seven hundred ninety-two".