187268256 has 144 divisors (see below), whose sum is σ = 640785600. Its totient is φ = 50678784.

The previous prime is 187268227. The next prime is 187268269. The reversal of 187268256 is 652862781.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35860 + ... + 40748.

It is an arithmetic number, because the mean of its divisors is an integer number (4449900).

Almost surely, 2^187268256 is an apocalyptic number.

187268256 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 187268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320392800).

187268256 is an abundant number, since it is smaller than the sum of its proper divisors (453517344).

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

187268256 is a wasteful number, since it uses less digits than its factorization.

187268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4920 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 187268256 is about 13684.5992268681. The cubic root of 187268256 is about 572.1212190319.

The spelling of 187268256 in words is "one hundred eighty-seven million, two hundred sixty-eight thousand, two hundred fifty-six".