152856 has 48 divisors (see below), whose sum is σ = 453960. Its totient is φ = 46080.

The previous prime is 152851. The next prime is 152857. The reversal of 152856 is 658251.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152856.

It is not an unprimeable number, because it can be changed into a prime (152851) by changing a digit.

152856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696 + ... + 888.

2¹⁵²⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226980).

152856 is an abundant number, since it is smaller than the sum of its proper divisors (301104).

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

152856 is a wasteful number, since it uses less digits than its factorization.

152856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 152856 is about 390.9680293835. The cubic root of 152856 is about 53.4680275965.

The spelling of 152856 in words is "one hundred fifty-two thousand, eight hundred fifty-six".