156312 has 48 divisors (see below), whose sum is σ = 458640. Its totient is φ = 47808.

The previous prime is 156307. The next prime is 156319. The reversal of 156312 is 213651.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 156312.

It is not an unprimeable number, because it can be changed into a prime (156319) by changing a digit.

156312 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, 853 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

156312 is a Friedman number, since it can be written as (31+5^(6+1))*2, using all its digits and the basic arithmetic operations.

2¹⁵⁶³¹² is an apocalyptic number.

156312 is a gapful number since it is divisible by the number (12) 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 156312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

156312 is an abundant number, since it is smaller than the sum of its proper divisors (302328).

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

156312 is a wasteful number, since it uses less digits than its factorization.

156312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 156312 is about 395.3631242289. The cubic root of 156312 is about 53.8679903061.

Adding to 156312 its reverse (213651), we get a palindrome (369963).

The spelling of 156312 in words is "one hundred fifty-six thousand, three hundred twelve".