135711 has 12 divisors (see below), whose sum is σ = 207792. Its totient is φ = 85056.

The previous prime is 135701. The next prime is 135719. The reversal of 135711 is 117531.

It is a happy number.

It is not a de Polignac number, because 135711 - 2⁶ = 135647 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135711.

It is not an unprimeable number, because it can be changed into a prime (135719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (17316).

2¹³⁵⁷¹¹ is an apocalyptic number.

135711 is a deficient number, since it is larger than the sum of its proper divisors (72081).

135711 is a wasteful number, since it uses less digits than its factorization.

135711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 135711 is about 368.3897392708. The cubic root of 135711 is about 51.3891794914.

The spelling of 135711 in words is "one hundred thirty-five thousand, seven hundred eleven".