131891760 has 640 divisors, whose sum is σ = 619960320. Its totient is φ = 24883200.

The previous prime is 131891741. The next prime is 131891777. The reversal of 131891760 is 67198131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162130 + ... + 2162190.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^131891760 is an apocalyptic number.

131891760 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 131891760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309980160).

131891760 is an abundant number, since it is smaller than the sum of its proper divisors (488068560).

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

131891760 is a wasteful number, since it uses less digits than its factorization.

131891760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131891760 is about 11484.4137856488. The cubic root of 131891760 is about 509.0251273229.

It can be divided in two parts, 131891 and 760, that added together give a cube (132651 = 51³).

The spelling of 131891760 in words is "one hundred thirty-one million, eight hundred ninety-one thousand, seven hundred sixty".