130006560 has 96 divisors (see below), whose sum is σ = 422779392. Its totient is φ = 33546240.

The previous prime is 130006553. The next prime is 130006571. The reversal of 130006560 is 65600031.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10512 + ... + 19248.

It is an arithmetic number, because the mean of its divisors is an integer number (4403952).

Almost surely, 2^130006560 is an apocalyptic number.

130006560 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 130006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211389696).

130006560 is an abundant number, since it is smaller than the sum of its proper divisors (292772832).

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

130006560 is a wasteful number, since it uses less digits than its factorization.

130006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130006560 is about 11402.0419223927. The cubic root of 130006560 is about 506.5882226971.

Adding to 130006560 its reverse (65600031), we get a palindrome (195606591).

The spelling of 130006560 in words is "one hundred thirty million, six thousand, five hundred sixty".