256134203160 has 128 divisors (see below), whose sum is σ = 839498515200. Its totient is φ = 62001205760.

The previous prime is 256134203153. The next prime is 256134203177. The reversal of 256134203160 is 61302431652.

256134203160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750331 + ... + 1036949.

It is an arithmetic number, because the mean of its divisors is an integer number (6558582150).

Almost surely, 2^256134203160 is an apocalyptic number.

256134203160 is a gapful number since it is divisible by the number (20) 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 256134203160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419749257600).

256134203160 is an abundant number, since it is smaller than the sum of its proper divisors (583364312040).

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

256134203160 is a wasteful number, since it uses less digits than its factorization.

256134203160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287321 (or 287317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 256134203160 in words is "two hundred fifty-six billion, one hundred thirty-four million, two hundred three thousand, one hundred sixty".