130256000 has 128 divisors (see below), whose sum is σ = 370431360. Its totient is φ = 44620800.

The previous prime is 130255991. The next prime is 130256041. The reversal of 130256000 is 652031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 130256000.

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 15 ways as a sum of consecutive naturals, for example, 111419 + ... + 112581.

It is an arithmetic number, because the mean of its divisors is an integer number (2893995).

Almost surely, 2^130256000 is an apocalyptic number.

130256000 is a gapful number since it is divisible by the number (10) 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 130256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185215680).

130256000 is an abundant number, since it is smaller than the sum of its proper divisors (240175360).

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

130256000 is an equidigital number, since it uses as much as digits as its factorization.

130256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 130256000 is about 11412.9750722588. The cubic root of 130256000 is about 506.9120079884.

The spelling of 130256000 in words is "one hundred thirty million, two hundred fifty-six thousand".