131579712 has 168 divisors, whose sum is σ = 433486560. Its totient is φ = 37739520.

The previous prime is 131579687. The next prime is 131579713. The reversal of 131579712 is 217975131.

131579712 is a `hidden beast` number, since 13 + 1 + 579 + 71 + 2 = 666.

It is a super-2 number, since 2×131579712² = 34626441220005888, which contains 22 as substring.

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 (131579713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119838 + ... + 120930.

Almost surely, 2^131579712 is an apocalyptic number.

131579712 is a gapful number since it is divisible by the number (12) 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 131579712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216743280).

131579712 is an abundant number, since it is smaller than the sum of its proper divisors (301906848).

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

131579712 is a wasteful number, since it uses less digits than its factorization.

131579712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1128 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 131579712 is about 11470.8200229975. The cubic root of 131579712 is about 508.6233693291.

The spelling of 131579712 in words is "one hundred thirty-one million, five hundred seventy-nine thousand, seven hundred twelve".