130384128 has 144 divisors (see below), whose sum is σ = 402913280. Its totient is φ = 36661248.

The previous prime is 130384117. The next prime is 130384147. The reversal of 130384128 is 821483031.

It is a junction number, because it is equal to n+sod(n) for n = 130384095 and 130384104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424551 + ... + 424857.

Almost surely, 2^130384128 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 130384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201456640).

130384128 is an abundant number, since it is smaller than the sum of its proper divisors (272529152).

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

130384128 is an equidigital number, since it uses as much as digits as its factorization.

130384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 130384128 is about 11418.5869528589. The cubic root of 130384128 is about 507.0781637053.

The spelling of 130384128 in words is "one hundred thirty million, three hundred eighty-four thousand, one hundred twenty-eight".