131755680 has 192 divisors, whose sum is σ = 527143680. Its totient is φ = 30108672.

The previous prime is 131755667. The next prime is 131755691. The reversal of 131755680 is 86557131.

131755680 is a `hidden beast` number, since 13 + 17 + 556 + 80 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28062 + ... + 32418.

It is an arithmetic number, because the mean of its divisors is an integer number (2745540).

Almost surely, 2^131755680 is an apocalyptic number.

131755680 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 131755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263571840).

131755680 is an abundant number, since it is smaller than the sum of its proper divisors (395388000).

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

131755680 is a wasteful number, since it uses less digits than its factorization.

131755680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 131755680 is about 11478.4877052685. The cubic root of 131755680 is about 508.8500039855.

The spelling of 131755680 in words is "one hundred thirty-one million, seven hundred fifty-five thousand, six hundred eighty".