259128 has 48 divisors (see below), whose sum is σ = 725400. Its totient is φ = 83520.

The previous prime is 259123. The next prime is 259151. The reversal of 259128 is 821952.

259128 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4218 + ... + 4278.

2²⁵⁹¹²⁸ 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 259128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362700).

259128 is an abundant number, since it is smaller than the sum of its proper divisors (466272).

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

259128 is a wasteful number, since it uses less digits than its factorization.

259128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 259128 is about 509.0461668650. The cubic root of 259128 is about 63.7536099455.

The spelling of 259128 in words is "two hundred fifty-nine thousand, one hundred twenty-eight".