259152 has 20 divisors (see below), whose sum is σ = 669600. Its totient is φ = 86368.

The previous prime is 259151. The next prime is 259157. The reversal of 259152 is 251952.

259152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259151) 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, 2652 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2²⁵⁹¹⁵² is an apocalyptic number.

It is an amenable number.

259152 is an abundant number, since it is smaller than the sum of its proper divisors (410448).

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

259152 is a wasteful number, since it uses less digits than its factorization.

259152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5404 counting only the distinct ones).

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

The square root of 259152 is about 509.0697398196. The cubic root of 259152 is about 63.7555781355.

The spelling of 259152 in words is "two hundred fifty-nine thousand, one hundred fifty-two".