130390560 has 120 divisors (see below), whose sum is σ = 460215756. Its totient is φ = 34767360.

The previous prime is 130390529. The next prime is 130390573. The reversal of 130390560 is 65093031.

130390560 is a `hidden beast` number, since 13 + 0 + 3 + 90 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130233744 + 156816 = 11412^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×130390560² = 34003396274227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7930 + ... + 17990.

Almost surely, 2^130390560 is an apocalyptic number.

130390560 is a gapful number since it is divisible by the number (10) 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 130390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230107878).

130390560 is an abundant number, since it is smaller than the sum of its proper divisors (329825196).

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

130390560 is a wasteful number, since it uses less digits than its factorization.

130390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 130390560 is about 11418.8685954432. The cubic root of 130390560 is about 507.0865018192.

The spelling of 130390560 in words is "one hundred thirty million, three hundred ninety thousand, five hundred sixty".