135660 has 96 divisors (see below), whose sum is σ = 483840. Its totient is φ = 27648.

The previous prime is 135649. The next prime is 135661. The reversal of 135660 is 66531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7131 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2¹³⁵⁶⁶⁰ is an apocalyptic number.

135660 is a gapful number since it is divisible by the number (10) 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 135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

135660 is an abundant number, since it is smaller than the sum of its proper divisors (348180).

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

135660 is a wasteful number, since it uses less digits than its factorization.

135660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 135660 is about 368.3205125974. The cubic root of 135660 is about 51.3827413581.

The spelling of 135660 in words is "one hundred thirty-five thousand, six hundred sixty".