135205 has 8 divisors (see below), whose sum is σ = 185472. Its totient is φ = 92688.

The previous prime is 135197. The next prime is 135209. The reversal of 135205 is 502531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135205 - 2³ = 135197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1897 + ... + 1966.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2¹³⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

135205 is a deficient number, since it is larger than the sum of its proper divisors (50267).

135205 is an equidigital number, since it uses as much as digits as its factorization.

135205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 135205 is about 367.7023252578. The cubic root of 135205 is about 51.3252315694.

Adding to 135205 its reverse (502531), we get a palindrome (637736).

It can be divided in two parts, 13520 and 5, that multiplied together give a square (67600 = 260²).

The spelling of 135205 in words is "one hundred thirty-five thousand, two hundred five".