191552256 has 288 divisors, whose sum is σ = 671086080. Its totient is φ = 52752384.

The previous prime is 191552237. The next prime is 191552267. The reversal of 191552256 is 652255191.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 191552256.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1790155 + ... + 1790261.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^191552256 is an apocalyptic number.

191552256 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 191552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

191552256 is an abundant number, since it is smaller than the sum of its proper divisors (479533824).

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

191552256 is a wasteful number, since it uses less digits than its factorization.

191552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 191552256 is about 13840.2404603388. The cubic root of 191552256 is about 576.4510356142.

The spelling of 191552256 in words is "one hundred ninety-one million, five hundred fifty-two thousand, two hundred fifty-six".