130008384 has 252 divisors, whose sum is σ = 437924448. Its totient is φ = 36556800.

The previous prime is 130008383. The next prime is 130008391. The reversal of 130008384 is 483800031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130008383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1831069 + ... + 1831139.

Almost surely, 2^130008384 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 130008384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218962224).

130008384 is an abundant number, since it is smaller than the sum of its proper divisors (307916064).

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

130008384 is a wasteful number, since it uses less digits than its factorization.

130008384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130008384 is about 11402.1219077854. The cubic root of 130008384 is about 506.5905918407.

The spelling of 130008384 in words is "one hundred thirty million, eight thousand, three hundred eighty-four".