152816256 has 96 divisors (see below), whose sum is σ = 444143700. Its totient is φ = 50429952.

The previous prime is 152816243. The next prime is 152816291. The reversal of 152816256 is 652618251.

152816256 is a `hidden beast` number, since 1 + 5 + 28 + 1 + 625 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152769600 + 46656 = 12360^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 152816256.

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 11 ways as a sum of consecutive naturals, for example, 124960 + ... + 126176.

Almost surely, 2^152816256 is an apocalyptic number.

152816256 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 152816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222071850).

152816256 is an abundant number, since it is smaller than the sum of its proper divisors (291327444).

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

152816256 is a wasteful number, since it uses less digits than its factorization.

152816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 152816256 is about 12361.8872345609. The cubic root of 152816256 is about 534.6339313116.

The spelling of 152816256 in words is "one hundred fifty-two million, eight hundred sixteen thousand, two hundred fifty-six".