135289 has 12 divisors (see below), whose sum is σ = 172368. Its totient is φ = 105000.

The previous prime is 135283. The next prime is 135301. The reversal of 135289 is 982531.

It is not a de Polignac number, because 135289 - 2³ = 135281 is a prime.

It is a super-2 number, since 2×135289² = 36606227042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135281) 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 in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 664.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2¹³⁵²⁸⁹ is an apocalyptic number.

It is an amenable number.

135289 is a deficient number, since it is larger than the sum of its proper divisors (37079).

135289 is a wasteful number, since it uses less digits than its factorization.

135289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 135289 is about 367.8165303518. The cubic root of 135289 is about 51.3358584616.

It can be divided in two parts, 1352 and 89, that added together give a palindrome (1441).

The spelling of 135289 in words is "one hundred thirty-five thousand, two hundred eighty-nine".