135792 has 60 divisors (see below), whose sum is σ = 406224. Its totient is φ = 42240.

The previous prime is 135787. The next prime is 135799. The reversal of 135792 is 297531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135799) by changing a digit.

135792 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 11 ways as a sum of consecutive naturals, for example, 3292 + ... + 3332.

2¹³⁵⁷⁹² is an apocalyptic number.

135792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 368×369.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

135792 is an abundant number, since it is smaller than the sum of its proper divisors (270432).

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

135792 is a wasteful number, since it uses less digits than its factorization.

135792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 135792 is about 368.4996607868. The cubic root of 135792 is about 51.3994014475.

The spelling of 135792 in words is "one hundred thirty-five thousand, seven hundred ninety-two".