135120 has 40 divisors (see below), whose sum is σ = 419616. Its totient is φ = 35968.

The previous prime is 135119. The next prime is 135131. The reversal of 135120 is 21531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 135096 and 135105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 521.

2¹³⁵¹²⁰ is an apocalyptic number.

135120 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 135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209808).

135120 is an abundant number, since it is smaller than the sum of its proper divisors (284496).

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

135120 is a wasteful number, since it uses less digits than its factorization.

135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 135120 is about 367.5867244610. The cubic root of 135120 is about 51.3144736851.

Adding to 135120 its reverse (21531), we get a palindrome (156651).

The spelling of 135120 in words is "one hundred thirty-five thousand, one hundred twenty".