156264 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 48896.

The previous prime is 156259. The next prime is 156269. The reversal of 156264 is 462651.

156264 = T₁₂₇ + T₁₂₈ + ... + T₁₄₃.

It is an interprime number because it is at equal distance from previous prime (156259) and next prime (156269).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (156269) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 217 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

156264 is a Friedman number, since it can be written as 6+(5^(6+1)+4)*2, using all its digits and the basic arithmetic operations.

2¹⁵⁶²⁶⁴ 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 156264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

156264 is an abundant number, since it is smaller than the sum of its proper divisors (258456).

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

156264 is a wasteful number, since it uses less digits than its factorization.

156264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 156264 is about 395.3024158793. The cubic root of 156264 is about 53.8624758473.

It can be divided in two parts, 1 and 56264, that added together give a palindrome (56265).

The spelling of 156264 in words is "one hundred fifty-six thousand, two hundred sixty-four".