130519128 has 64 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 41890176.

The previous prime is 130519063. The next prime is 130519133. The reversal of 130519128 is 821915031.

It is a junction number, because it is equal to n+sod(n) for n = 130519095 and 130519104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90751 + ... + 92177.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^130519128 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 130519128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

130519128 is an abundant number, since it is smaller than the sum of its proper divisors (208088232).

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

130519128 is a wasteful number, since it uses less digits than its factorization.

130519128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 130519128 is about 11424.4968379356. The cubic root of 130519128 is about 507.2531132701.

The spelling of 130519128 in words is "one hundred thirty million, five hundred nineteen thousand, one hundred twenty-eight".