131291160 has 256 divisors, whose sum is σ = 529320960. Its totient is φ = 25159680.

The previous prime is 131291137. The next prime is 131291179. The reversal of 131291160 is 61192131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131291160.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 119574 + ... + 120666.

It is an arithmetic number, because the mean of its divisors is an integer number (2067660).

Almost surely, 2^131291160 is an apocalyptic number.

131291160 is a gapful number since it is divisible by the number (10) 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 131291160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264660480).

131291160 is an abundant number, since it is smaller than the sum of its proper divisors (398029800).

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

131291160 is a wasteful number, since it uses less digits than its factorization.

131291160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 131291160 is about 11458.2354662487. The cubic root of 131291160 is about 508.2512965048.

The spelling of 131291160 in words is "one hundred thirty-one million, two hundred ninety-one thousand, one hundred sixty".