130397568 has 128 divisors (see below), whose sum is σ = 399840000. Its totient is φ = 36882432.

The previous prime is 130397567. The next prime is 130397573. The reversal of 130397568 is 865793031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130397567) 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, 373458 + ... + 373806.

It is an arithmetic number, because the mean of its divisors is an integer number (3123750).

Almost surely, 2^130397568 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 130397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199920000).

130397568 is an abundant number, since it is smaller than the sum of its proper divisors (269442432).

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

130397568 is a wasteful number, since it uses less digits than its factorization.

130397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 130397568 is about 11419.1754518441. The cubic root of 130397568 is about 507.0955863177.

The spelling of 130397568 in words is "one hundred thirty million, three hundred ninety-seven thousand, five hundred sixty-eight".