135760 has 20 divisors (see below), whose sum is σ = 315828. Its totient is φ = 54272.

The previous prime is 135757. The next prime is 135781. The reversal of 135760 is 67531.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 38416 = 312^2 + 196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 769 + ... + 928.

2¹³⁵⁷⁶⁰ is an apocalyptic number.

135760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135760 is an abundant number, since it is smaller than the sum of its proper divisors (180068).

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

135760 is a wasteful number, since it uses less digits than its factorization.

135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 135760 is about 368.4562389213. The cubic root of 135760 is about 51.3953636297.

The spelling of 135760 in words is "one hundred thirty-five thousand, seven hundred sixty".