131416560 has 160 divisors (see below), whose sum is σ = 493896960. Its totient is φ = 31852800.

The previous prime is 131416553. The next prime is 131416561. The reversal of 131416560 is 65614131.

131416560 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 656 + 0 = 666.

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 (131416561) 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, 20995 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (3086856).

Almost surely, 2^131416560 is an apocalyptic number.

131416560 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 131416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246948480).

131416560 is an abundant number, since it is smaller than the sum of its proper divisors (362480400).

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

131416560 is a wasteful number, since it uses less digits than its factorization.

131416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131416560 is about 11463.7062069821. The cubic root of 131416560 is about 508.4130602054.

It can be divided in two parts, 13141 and 6560, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 131416560 in words is "one hundred thirty-one million, four hundred sixteen thousand, five hundred sixty".