131550624 has 144 divisors (see below), whose sum is σ = 401631048. Its totient is φ = 40697856.

The previous prime is 131550613. The next prime is 131550647. The reversal of 131550624 is 426055131.

131550624 is a `hidden beast` number, since 1 + 31 + 5 + 5 + 0 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106750224 + 24800400 = 10332^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474774 + ... + 475050.

Almost surely, 2^131550624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131550624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200815524).

131550624 is an abundant number, since it is smaller than the sum of its proper divisors (270080424).

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

131550624 is a wasteful number, since it uses less digits than its factorization.

131550624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 131550624 is about 11469.5520400755. The cubic root of 131550624 is about 508.5858865321.

The spelling of 131550624 in words is "one hundred thirty-one million, five hundred fifty thousand, six hundred twenty-four".