131564160 has 384 divisors, whose sum is σ = 561375360. Its totient is φ = 27648000.

The previous prime is 131564141. The next prime is 131564171. The reversal of 131564160 is 61465131.

131564160 is a `hidden beast` number, since 1 + 3 + 15 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524035 + ... + 524285.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^131564160 is an apocalyptic number.

131564160 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 131564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

131564160 is an abundant number, since it is smaller than the sum of its proper divisors (429811200).

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

131564160 is a wasteful number, since it uses less digits than its factorization.

131564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

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

The square root of 131564160 is about 11470.1421089714. The cubic root of 131564160 is about 508.6033297091.

The spelling of 131564160 in words is "one hundred thirty-one million, five hundred sixty-four thousand, one hundred sixty".