130393560 has 128 divisors (see below), whose sum is σ = 429960960. Its totient is φ = 31372800.

The previous prime is 130393531. The next prime is 130393573. The reversal of 130393560 is 65393031.

It is a Cunningham number, because it is equal to 11419²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228075 + ... + 228645.

It is an arithmetic number, because the mean of its divisors is an integer number (3359070).

Almost surely, 2^130393560 is an apocalyptic number.

130393560 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 130393560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214980480).

130393560 is an abundant number, since it is smaller than the sum of its proper divisors (299567400).

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

130393560 is a wasteful number, since it uses less digits than its factorization.

130393560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 130393560 is about 11418.9999562133. Note that the first 4 decimals coincide. The cubic root of 130393560 is about 507.0903907711.

The spelling of 130393560 in words is "one hundred thirty million, three hundred ninety-three thousand, five hundred sixty".