135713 has 4 divisors (see below), whose sum is σ = 137028. Its totient is φ = 134400.

The previous prime is 135701. The next prime is 135719. The reversal of 135713 is 317531.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 317531 = 311 ⋅1021.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 134689 = 32^2 + 367^2 .

It is a cyclic number.

It is not a de Polignac number, because 135713 - 2⁴ = 135697 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135719) 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 3 ways as a sum of consecutive naturals, for example, 488 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (34257).

2¹³⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

135713 is a deficient number, since it is larger than the sum of its proper divisors (1315).

135713 is a wasteful number, since it uses less digits than its factorization.

135713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314.

The product of its digits is 315, while the sum is 20.

The square root of 135713 is about 368.3924537772. The cubic root of 135713 is about 51.3894319343.

It can be divided in two parts, 135 and 713, that added together give a palindrome (848).

The spelling of 135713 in words is "one hundred thirty-five thousand, seven hundred thirteen".