156168 has 40 divisors (see below), whose sum is σ = 439230. Its totient is φ = 51840.

The previous prime is 156157. The next prime is 156217. The reversal of 156168 is 861651.

156168 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 39204 = 342^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 528 + ... + 768.

2¹⁵⁶¹⁶⁸ is an apocalyptic number.

156168 is a gapful number since it is divisible by the number (18) 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 156168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219615).

156168 is an abundant number, since it is smaller than the sum of its proper divisors (283062).

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

156168 is a wasteful number, since it uses less digits than its factorization.

156168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 156168 is about 395.1809712018. The cubic root of 156168 is about 53.8514435410.

It can be divided in two parts, 156 and 168, that added together give a square (324 = 18²).

The spelling of 156168 in words is "one hundred fifty-six thousand, one hundred sixty-eight".