131248568 has 64 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 55160320.

The previous prime is 131248553. The next prime is 131248571. The reversal of 131248568 is 865842131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87521 + ... + 89007.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^131248568 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 131248568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

131248568 is an abundant number, since it is smaller than the sum of its proper divisors (158018632).

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

131248568 is a wasteful number, since it uses less digits than its factorization.

131248568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 131248568 is about 11456.3767396154. The cubic root of 131248568 is about 508.1963301727.

The spelling of 131248568 in words is "one hundred thirty-one million, two hundred forty-eight thousand, five hundred sixty-eight".