130904256 has 112 divisors (see below), whose sum is σ = 398824704. Its totient is φ = 37118976.

The previous prime is 130904251. The next prime is 130904297. The reversal of 130904256 is 652409031.

130904256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (130904251) 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 15 ways as a sum of consecutive naturals, for example, 232231 + ... + 232793.

Almost surely, 2^130904256 is an apocalyptic number.

130904256 is a gapful number since it is divisible by the number (16) 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 130904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199412352).

130904256 is an abundant number, since it is smaller than the sum of its proper divisors (267920448).

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

130904256 is a wasteful number, since it uses less digits than its factorization.

130904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130904256 is about 11441.3397816864. The cubic root of 130904256 is about 507.7515473432.

The spelling of 130904256 in words is "one hundred thirty million, nine hundred four thousand, two hundred fifty-six".