130575968 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 58798080.

The previous prime is 130575967. The next prime is 130575979. The reversal of 130575968 is 869575031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130575967) 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 15 ways as a sum of consecutive naturals, for example, 1346096 + ... + 1346192.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^130575968 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 130575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

130575968 is an abundant number, since it is smaller than the sum of its proper divisors (153921952).

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

130575968 is a wasteful number, since it uses less digits than its factorization.

130575968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 130575968 is about 11426.9842040671. The cubic root of 130575968 is about 507.3267374277.

The spelling of 130575968 in words is "one hundred thirty million, five hundred seventy-five thousand, nine hundred sixty-eight".