130287584 has 48 divisors (see below), whose sum is σ = 296045568. Its totient is φ = 55285632.

The previous prime is 130287583. The next prime is 130287593. The reversal of 130287584 is 485782031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130287581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20249 + ... + 25895.

It is an arithmetic number, because the mean of its divisors is an integer number (6167616).

Almost surely, 2^130287584 is an apocalyptic number.

130287584 is a gapful number since it is divisible by the number (14) 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 130287584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148022784).

130287584 is an abundant number, since it is smaller than the sum of its proper divisors (165757984).

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

130287584 is a wasteful number, since it uses less digits than its factorization.

130287584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 130287584 is about 11414.3586766844. The cubic root of 130287584 is about 506.9529760691.

The spelling of 130287584 in words is "one hundred thirty million, two hundred eighty-seven thousand, five hundred eighty-four".