288156 has 48 divisors (see below), whose sum is σ = 766080. Its totient is φ = 83520.

The previous prime is 288137. The next prime is 288179. The reversal of 288156 is 651882.

It is a d-powerful number, because it can be written as 2 + 8⁴ + 1 + 8⁴ + 5² + 6⁷ .

It is a congruent number.

It is an unprimeable number.

288156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2²⁸⁸¹⁵⁶ 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 288156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

288156 is an abundant number, since it is smaller than the sum of its proper divisors (477924).

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

288156 is a wasteful number, since it uses less digits than its factorization.

288156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 288156 is about 536.8016393418. The cubic root of 288156 is about 66.0504664518.

It can be divided in two parts, 288 and 156, that added together give a palindrome (444).

The spelling of 288156 in words is "two hundred eighty-eight thousand, one hundred fifty-six".