156456 has 48 divisors (see below), whose sum is σ = 442260. Its totient is φ = 49920.

The previous prime is 156437. The next prime is 156467. The reversal of 156456 is 654651.

It is a happy number.

156456 is a `hidden beast` number, since 15 + 645 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152100 + 4356 = 390^2 + 66^2 .

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156456.

It is an unprimeable 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, 2926 + ... + 2978.

2¹⁵⁶⁴⁵⁶ 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 156456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130).

156456 is an abundant number, since it is smaller than the sum of its proper divisors (285804).

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

156456 is a wasteful number, since it uses less digits than its factorization.

156456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 156456 is about 395.5451933724. The cubic root of 156456 is about 53.8845269120.

It can be divided in two parts, 15645 and 6, that added together give a palindrome (15651).

The spelling of 156456 in words is "one hundred fifty-six thousand, four hundred fifty-six".