131794560 has 256 divisors, whose sum is σ = 484704000. Its totient is φ = 33804288.

The previous prime is 131794543. The next prime is 131794567. The reversal of 131794560 is 65497131.

131794560 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 94 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131794567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500989 + ... + 501251.

It is an arithmetic number, because the mean of its divisors is an integer number (1893375).

Almost surely, 2^131794560 is an apocalyptic number.

131794560 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 131794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242352000).

131794560 is an abundant number, since it is smaller than the sum of its proper divisors (352909440).

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

131794560 is a wasteful number, since it uses less digits than its factorization.

131794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 131794560 is about 11480.1811832392. The cubic root of 131794560 is about 508.9000515241.

The spelling of 131794560 in words is "one hundred thirty-one million, seven hundred ninety-four thousand, five hundred sixty".