130075584 has 56 divisors (see below), whose sum is σ = 346057728. Its totient is φ = 43119360.

The previous prime is 130075571. The next prime is 130075637. The reversal of 130075584 is 485570031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34899 + ... + 38445.

Almost surely, 2^130075584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130075584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173028864).

130075584 is an abundant number, since it is smaller than the sum of its proper divisors (215982144).

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

130075584 is a wasteful number, since it uses less digits than its factorization.

130075584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 130075584 is about 11405.0683470113. The cubic root of 130075584 is about 506.6778606330.

The spelling of 130075584 in words is "one hundred thirty million, seventy-five thousand, five hundred eighty-four".