135589 has 2 divisors, whose sum is σ = 135590. Its totient is φ = 135588.

The previous prime is 135581. The next prime is 135593. The reversal of 135589 is 985531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134689 + 900 = 367^2 + 30^2 .

It is an emirp because it is prime and its reverse (985531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135589 - 2³ = 135581 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 135589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67794 + 67795.

It is an arithmetic number, because the mean of its divisors is an integer number (67795).

2¹³⁵⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

135589 is a deficient number, since it is larger than the sum of its proper divisors (1).

135589 is an equidigital number, since it uses as much as digits as its factorization.

135589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5400, while the sum is 31.

The square root of 135589 is about 368.2241165377. The cubic root of 135589 is about 51.3737757792.

It can be divided in two parts, 1355 and 89, that added together give a square (1444 = 38²).

The spelling of 135589 in words is "one hundred thirty-five thousand, five hundred eighty-nine".