151984256 has 32 divisors (see below), whose sum is σ = 305927580. Its totient is φ = 75202560.

The previous prime is 151984247. The next prime is 151984291. The reversal of 151984256 is 652489151.

It can be written as a sum of positive squares in 2 ways, for example, as 148449856 + 3534400 = 12184^2 + 1880^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6296 + ... + 18536.

Almost surely, 2^151984256 is an apocalyptic number.

151984256 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 151984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152963790).

151984256 is an abundant number, since it is smaller than the sum of its proper divisors (153943324).

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

151984256 is an equidigital number, since it uses as much as digits as its factorization.

151984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12352 (or 12340 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The square root of 151984256 is about 12328.1894858896. The cubic root of 151984256 is about 533.6619030926.

The spelling of 151984256 in words is "one hundred fifty-one million, nine hundred eighty-four thousand, two hundred fifty-six".