130098528 has 192 divisors, whose sum is σ = 443520000. Its totient is φ = 37086336.

The previous prime is 130098497. The next prime is 130098539. The reversal of 130098528 is 825890031.

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 = 130098492 and 130098501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296133 + ... + 296571.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 2^130098528 is an apocalyptic number.

130098528 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 130098528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

130098528 is an abundant number, since it is smaller than the sum of its proper divisors (313421472).

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

130098528 is an equidigital number, since it uses as much as digits as its factorization.

130098528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 130098528 is about 11406.0741712475. The cubic root of 130098528 is about 506.7076498089.

The spelling of 130098528 in words is "one hundred thirty million, ninety-eight thousand, five hundred twenty-eight".