131488968 has 128 divisors (see below), whose sum is σ = 382435200. Its totient is φ = 37324800.

The previous prime is 131488963. The next prime is 131488979. The reversal of 131488968 is 869884131.

131488968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131488961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242778 + ... + 243318.

It is an arithmetic number, because the mean of its divisors is an integer number (2987775).

Almost surely, 2^131488968 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 131488968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191217600).

131488968 is an abundant number, since it is smaller than the sum of its proper divisors (250946232).

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

131488968 is a wasteful number, since it uses less digits than its factorization.

131488968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 131488968 is about 11466.8639130322. The cubic root of 131488968 is about 508.5064183378.

The spelling of 131488968 in words is "one hundred thirty-one million, four hundred eighty-eight thousand, nine hundred sixty-eight".