130080 has 48 divisors (see below), whose sum is σ = 411264. Its totient is φ = 34560.

The previous prime is 130079. The next prime is 130087. The reversal of 130080 is 80031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2¹³⁰⁰⁸⁰ is an apocalyptic number.

130080 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 130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632).

130080 is an abundant number, since it is smaller than the sum of its proper divisors (281184).

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

130080 is a wasteful number, since it uses less digits than its factorization.

130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130080 is about 360.6660505232. Note that the first 3 decimals coincide. The cubic root of 130080 is about 50.6683594387.

The spelling of 130080 in words is "one hundred thirty thousand, eighty".