135192 has 32 divisors (see below), whose sum is σ = 348480. Its totient is φ = 43680.

The previous prime is 135181. The next prime is 135193. The reversal of 135192 is 291531.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135193) by changing a digit.

135192 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 in 7 ways as a sum of consecutive naturals, for example, 967 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2¹³⁵¹⁹² is an apocalyptic number.

135192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240).

135192 is an abundant number, since it is smaller than the sum of its proper divisors (213288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135192 is a wasteful number, since it uses less digits than its factorization.

135192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 135192 is about 367.6846474902. The cubic root of 135192 is about 51.3235865380.

The spelling of 135192 in words is "one hundred thirty-five thousand, one hundred ninety-two".