130560 has 80 divisors (see below), whose sum is σ = 441936. Its totient is φ = 32768.

The previous prime is 130553. The next prime is 130579. The reversal of 130560 is 65031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 68 × 60 × 32.

It is a congruent number.

It is an unprimeable number.

130560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 130560 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7672 + ... + 7688.

2¹³⁰⁵⁶⁰ is an apocalyptic number.

130560 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 130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

130560 is an abundant number, since it is smaller than the sum of its proper divisors (311376).

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

130560 is an equidigital number, since it uses as much as digits as its factorization.

130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130560 is about 361.3308733004. The cubic root of 130560 is about 50.7306056431.

Adding to 130560 its reverse (65031), we get a palindrome (195591).

The spelling of 130560 in words is "one hundred thirty thousand, five hundred sixty".