135772 has 24 divisors (see below), whose sum is σ = 293216. Its totient is φ = 53568.

The previous prime is 135757. The next prime is 135781. The reversal of 135772 is 277531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 550.

2¹³⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146608).

135772 is an abundant number, since it is smaller than the sum of its proper divisors (157444).

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

135772 is a wasteful number, since it uses less digits than its factorization.

135772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its digits is 1470, while the sum is 25.

The square root of 135772 is about 368.4725227205. The cubic root of 135772 is about 51.3968778857.

The spelling of 135772 in words is "one hundred thirty-five thousand, seven hundred seventy-two".