130753128 has 32 divisors (see below), whose sum is σ = 356600160. Its totient is φ = 39622080.

The previous prime is 130753123. The next prime is 130753157. The reversal of 130753128 is 821357031.

It is a junction number, because it is equal to n+sod(n) for n = 130753095 and 130753104.

It is not an unprimeable number, because it can be changed into a prime (130753121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247375 + ... + 247902.

It is an arithmetic number, because the mean of its divisors is an integer number (11143755).

Almost surely, 2^130753128 is an apocalyptic number.

It is an amenable number.

130753128 is an abundant number, since it is smaller than the sum of its proper divisors (225847032).

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

130753128 is a wasteful number, since it uses less digits than its factorization.

130753128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495297 (or 495293 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 130753128 is about 11434.7334031013. The cubic root of 130753128 is about 507.5560736250.

The spelling of 130753128 in words is "one hundred thirty million, seven hundred fifty-three thousand, one hundred twenty-eight".