131410944 has 264 divisors, whose sum is σ = 457381680. Its totient is φ = 37158912.

The previous prime is 131410943. The next prime is 131410987. The reversal of 131410944 is 449014131.

It is a super-2 number, since 2×131410944² = 34537672405942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354704 + ... + 1354800.

Almost surely, 2^131410944 is an apocalyptic number.

131410944 is a gapful number since it is divisible by the number (14) 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 131410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228690840).

131410944 is an abundant number, since it is smaller than the sum of its proper divisors (325970736).

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

131410944 is an equidigital number, since it uses as much as digits as its factorization.

131410944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131410944 is about 11463.4612574039. The cubic root of 131410944 is about 508.4058178700.

The spelling of 131410944 in words is "one hundred thirty-one million, four hundred ten thousand, nine hundred forty-four".