130912128 has 96 divisors (see below), whose sum is σ = 396606600. Its totient is φ = 41333760.

The previous prime is 130912127. The next prime is 130912157. The reversal of 130912128 is 821219031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130912123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18898 + ... + 24878.

Almost surely, 2^130912128 is an apocalyptic number.

130912128 is a gapful number since it is divisible by the number (18) 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 130912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198303300).

130912128 is an abundant number, since it is smaller than the sum of its proper divisors (265694472).

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

130912128 is a wasteful number, since it uses less digits than its factorization.

130912128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 130912128 is about 11441.6837921698. The cubic root of 130912128 is about 507.7617251128.

The spelling of 130912128 in words is "one hundred thirty million, nine hundred twelve thousand, one hundred twenty-eight".