131343968 has 48 divisors (see below), whose sum is σ = 298196640. Its totient is φ = 55781376.

The previous prime is 131343967. The next prime is 131343983. The reversal of 131343968 is 869343131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131343967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22718 + ... + 27906.

It is an arithmetic number, because the mean of its divisors is an integer number (6212430).

Almost surely, 2^131343968 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 131343968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149098320).

131343968 is an abundant number, since it is smaller than the sum of its proper divisors (166852672).

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

131343968 is a wasteful number, since it uses less digits than its factorization.

131343968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5311 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 131343968 is about 11460.5396033520. The cubic root of 131343968 is about 508.3194304060.

The spelling of 131343968 in words is "one hundred thirty-one million, three hundred forty-three thousand, nine hundred sixty-eight".