135712 has 12 divisors (see below), whose sum is σ = 267246. Its totient is φ = 67840.

The previous prime is 135701. The next prime is 135719. The reversal of 135712 is 217531.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 59536 = 276^2 + 244^2 .

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 135712.

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

135712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2089 + ... + 2152.

2¹³⁵⁷¹² is an apocalyptic number.

It is an amenable number.

135712 is a deficient number, since it is larger than the sum of its proper divisors (131534).

135712 is an equidigital number, since it uses as much as digits as its factorization.

135712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4243 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 135712 is about 368.3910965265. The cubic root of 135712 is about 51.3893057131.

It can be divided in two parts, 1357 and 12, that added together give a square (1369 = 37²).

The spelling of 135712 in words is "one hundred thirty-five thousand, seven hundred twelve".