130282080 has 96 divisors (see below), whose sum is σ = 412322400. Its totient is φ = 34578432.

The previous prime is 130282079. The next prime is 130282127. The reversal of 130282080 is 80282031.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130282080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128616 + ... + 129624.

It is an arithmetic number, because the mean of its divisors is an integer number (4295025).

Almost surely, 2^130282080 is an apocalyptic number.

130282080 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 130282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206161200).

130282080 is an abundant number, since it is smaller than the sum of its proper divisors (282040320).

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

130282080 is a wasteful number, since it uses less digits than its factorization.

130282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130282080 is about 11414.1175743024. The cubic root of 130282080 is about 506.9458372245.

The spelling of 130282080 in words is "one hundred thirty million, two hundred eighty-two thousand, eighty".