131569920 has 288 divisors, whose sum is σ = 482711040. Its totient is φ = 34338816.

The previous prime is 131569909. The next prime is 131569931. The reversal of 131569920 is 29965131.

131569920 is a `hidden beast` number, since 1 + 3 + 1 + 569 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131569909) and next prime (131569931).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799337 + ... + 2799383.

It is an arithmetic number, because the mean of its divisors is an integer number (1676080).

Almost surely, 2^131569920 is an apocalyptic number.

131569920 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 131569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241355520).

131569920 is an abundant number, since it is smaller than the sum of its proper divisors (351141120).

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

131569920 is an frugal number, since it uses more digits than its factorization.

131569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 131569920 is about 11470.3931929119. The cubic root of 131569920 is about 508.6107519747.

The spelling of 131569920 in words is "one hundred thirty-one million, five hundred sixty-nine thousand, nine hundred twenty".