159312 has 20 divisors (see below), whose sum is σ = 411680. Its totient is φ = 53088.

The previous prime is 159311. The next prime is 159319. The reversal of 159312 is 213951.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 159312.

It is not an unprimeable number, because it can be changed into a prime (159311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1612 + ... + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (20584).

2¹⁵⁹³¹² is an apocalyptic number.

159312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

159312 is an abundant number, since it is smaller than the sum of its proper divisors (252368).

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

159312 is a wasteful number, since it uses less digits than its factorization.

159312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3324 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 159312 is about 399.1390735070. The cubic root of 159312 is about 54.2104272273.

The spelling of 159312 in words is "one hundred fifty-nine thousand, three hundred twelve".