135693 has 6 divisors (see below), whose sum is σ = 196014. Its totient is φ = 90456.

The previous prime is 135671. The next prime is 135697. The reversal of 135693 is 396531.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 56169 = 282^2 + 237^2 .

It is not a de Polignac number, because 135693 - 2⁵ = 135661 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135697) 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, 7530 + ... + 7547.

It is an arithmetic number, because the mean of its divisors is an integer number (32669).

2¹³⁵⁶⁹³ is an apocalyptic number.

It is an amenable number.

135693 is a deficient number, since it is larger than the sum of its proper divisors (60321).

135693 is a wasteful number, since it uses less digits than its factorization.

135693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15083 (or 15080 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 135693 is about 368.3653078128. The cubic root of 135693 is about 51.3869073932.

It can be divided in two parts, 135 and 693, that added together give a palindrome (828).

The spelling of 135693 in words is "one hundred thirty-five thousand, six hundred ninety-three".