135165 has 8 divisors (see below), whose sum is σ = 216288. Its totient is φ = 72080.

The previous prime is 135151. The next prime is 135173. The reversal of 135165 is 561531.

135165 = 78² + 79² + ... + 95².

It is a happy number.

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

It is not a de Polignac number, because 135165 - 2⁶ = 135101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4491 + ... + 4520.

It is an arithmetic number, because the mean of its divisors is an integer number (27036).

2¹³⁵¹⁶⁵ is an apocalyptic number.

135165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135165 is a deficient number, since it is larger than the sum of its proper divisors (81123).

135165 is an equidigital number, since it uses as much as digits as its factorization.

135165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9019.

The product of its digits is 450, while the sum is 21.

The square root of 135165 is about 367.6479294107. The cubic root of 135165 is about 51.3201695974.

Adding to 135165 its reverse (561531), we get a palindrome (696696).

It can be divided in two parts, 135 and 165, that added together give a triangular number (300 = T₂₄).

The spelling of 135165 in words is "one hundred thirty-five thousand, one hundred sixty-five".