130576320 has 448 divisors, whose sum is σ = 561807360. Its totient is φ = 27869184.

The previous prime is 130576319. The next prime is 130576321. The reversal of 130576320 is 23675031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130576319) and next prime (130576321).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130576321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028097 + ... + 1028223.

Almost surely, 2^130576320 is an apocalyptic number.

130576320 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 130576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

130576320 is an abundant number, since it is smaller than the sum of its proper divisors (431231040).

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

130576320 is a wasteful number, since it uses less digits than its factorization.

130576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130576320 is about 11426.9996061958. Note that the first 3 decimals coincide. The cubic root of 130576320 is about 507.3271933025.

The spelling of 130576320 in words is "one hundred thirty million, five hundred seventy-six thousand, three hundred twenty".