130458528 has 72 divisors (see below), whose sum is σ = 372206016. Its totient is φ = 43344000.

The previous prime is 130458521. The next prime is 130458529. The reversal of 130458528 is 825854031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 130458492 and 130458501.

It is not an unprimeable number, because it can be changed into a prime (130458521) 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 11 ways as a sum of consecutive naturals, for example, 123603 + ... + 124653.

It is an arithmetic number, because the mean of its divisors is an integer number (5169528).

Almost surely, 2^130458528 is an apocalyptic number.

130458528 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 130458528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186103008).

130458528 is an abundant number, since it is smaller than the sum of its proper divisors (241747488).

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

130458528 is a wasteful number, since it uses less digits than its factorization.

130458528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 130458528 is about 11421.8443344322. The cubic root of 130458528 is about 507.1745952837.

The spelling of 130458528 in words is "one hundred thirty million, four hundred fifty-eight thousand, five hundred twenty-eight".