259137 has 6 divisors (see below), whose sum is σ = 374322. Its totient is φ = 172752.

The previous prime is 259123. The next prime is 259151. The reversal of 259137 is 731952.

259137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259123) and next prime (259151).

It can be written as a sum of positive squares in only one way, i.e., 197136 + 62001 = 444^2 + 249^2 .

It is not a de Polignac number, because 259137 - 2⁴ = 259121 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 5⁵ + 1 + 9³ + 3⁸ + 7⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 259137.

It is not an unprimeable number, because it can be changed into a prime (259157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14388 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (62387).

2²⁵⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

259137 is a deficient number, since it is larger than the sum of its proper divisors (115185).

259137 is a wasteful number, since it uses less digits than its factorization.

259137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28799 (or 28796 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 259137 is about 509.0550068509. The cubic root of 259137 is about 63.7543480310.

It can be divided in two parts, 2591 and 37, that added together give a triangular number (2628 = T₇₂).

The spelling of 259137 in words is "two hundred fifty-nine thousand, one hundred thirty-seven".