130713968 has 120 divisors (see below), whose sum is σ = 335871360. Its totient is φ = 48639360.

The previous prime is 130713967. The next prime is 130713971. The reversal of 130713968 is 869317031.

It is a super-2 number, since 2×130713968² = 34172282860610048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130713967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 198023 + ... + 198681.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2^130713968 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 130713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

130713968 is an abundant number, since it is smaller than the sum of its proper divisors (205157392).

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

130713968 is a wasteful number, since it uses less digits than its factorization.

130713968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 130713968 is about 11433.0209481134. The cubic root of 130713968 is about 507.5053982779.

The spelling of 130713968 in words is "one hundred thirty million, seven hundred thirteen thousand, nine hundred sixty-eight".