130638528 has 224 divisors, whose sum is σ = 424281600. Its totient is φ = 39232512.

The previous prime is 130638517. The next prime is 130638559. The reversal of 130638528 is 825836031.

130638528 is a `hidden beast` number, since 13 + 0 + 638 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130638492 and 130638501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755050 + ... + 755222.

Almost surely, 2^130638528 is an apocalyptic number.

130638528 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 130638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212140800).

130638528 is an abundant number, since it is smaller than the sum of its proper divisors (293643072).

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

130638528 is a wasteful number, since it uses less digits than its factorization.

130638528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 130638528 is about 11429.7212564437. The cubic root of 130638528 is about 507.4077459365.

The spelling of 130638528 in words is "one hundred thirty million, six hundred thirty-eight thousand, five hundred twenty-eight".