130495968 has 96 divisors (see below), whose sum is σ = 386013600. Its totient is φ = 42882048.

The previous prime is 130495931. The next prime is 130495973. The reversal of 130495968 is 869594031.

It is a happy number.

130495968 is a `hidden beast` number, since 13 + 0 + 49 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 62038 + ... + 64106.

It is an arithmetic number, because the mean of its divisors is an integer number (4020975).

Almost surely, 2^130495968 is an apocalyptic number.

130495968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193006800).

130495968 is an abundant number, since it is smaller than the sum of its proper divisors (255517632).

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

130495968 is a wasteful number, since it uses less digits than its factorization.

130495968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 130495968 is about 11423.4831815870. The cubic root of 130495968 is about 507.2231082759.

The spelling of 130495968 in words is "one hundred thirty million, four hundred ninety-five thousand, nine hundred sixty-eight".