159252 has 24 divisors (see below), whose sum is σ = 388416. Its totient is φ = 50688.

The previous prime is 159233. The next prime is 159287. The reversal of 159252 is 252951.

159252 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×159252² = 50722399008, which contains 22 as substring.

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 159252.

It is an unprimeable number.

159252 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 7 ways as a sum of consecutive naturals, for example, 13 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (16184).

2¹⁵⁹²⁵² is an apocalyptic number.

159252 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 159252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194208).

159252 is an abundant number, since it is smaller than the sum of its proper divisors (229164).

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

159252 is a wasteful number, since it uses less digits than its factorization.

159252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 159252 is about 399.0639046569. The cubic root of 159252 is about 54.2036208054.

The spelling of 159252 in words is "one hundred fifty-nine thousand, two hundred fifty-two".