131656224 has 96 divisors (see below), whose sum is σ = 398877696. Its totient is φ = 37244160.

The previous prime is 131656171. The next prime is 131656237. The reversal of 131656224 is 422656131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131656224² = 34666722635876352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131656191 and 131656200.

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 15 ways as a sum of consecutive naturals, for example, 70989 + ... + 72819.

It is an arithmetic number, because the mean of its divisors is an integer number (4154976).

Almost surely, 2^131656224 is an apocalyptic number.

131656224 is a gapful number since it is divisible by the number (14) 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 131656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199438848).

131656224 is an abundant number, since it is smaller than the sum of its proper divisors (267221472).

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

131656224 is a wasteful number, since it uses less digits than its factorization.

131656224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 131656224 is about 11474.1546093819. The cubic root of 131656224 is about 508.7219363246.

The spelling of 131656224 in words is "one hundred thirty-one million, six hundred fifty-six thousand, two hundred twenty-four".