130880 has 28 divisors (see below), whose sum is σ = 312420. Its totient is φ = 52224.

The previous prime is 130873. The next prime is 130927. The reversal of 130880 is 88031.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 43264 = 296^2 + 208^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

130880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 524.

2¹³⁰⁸⁸⁰ is an apocalyptic number.

130880 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 130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156210).

130880 is an abundant number, since it is smaller than the sum of its proper divisors (181540).

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

130880 is an equidigital number, since it uses as much as digits as its factorization.

130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 130880 is about 361.7734097470. The cubic root of 130880 is about 50.7720184008.

Adding to 130880 its product of nonzero digits (192), we get a 17-th power (131072 = 2¹⁷).

Subtracting from 130880 its reverse (88031), we obtain a square (42849 = 207²).

The spelling of 130880 in words is "one hundred thirty thousand, eight hundred eighty".