135420 has 48 divisors (see below), whose sum is σ = 395808. Its totient is φ = 34560.

The previous prime is 135409. The next prime is 135427. The reversal of 135420 is 24531.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 135420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190 + ... + 2250.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2¹³⁵⁴²⁰ is an apocalyptic number.

135420 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 135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

135420 is an abundant number, since it is smaller than the sum of its proper divisors (260388).

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

135420 is a wasteful number, since it uses less digits than its factorization.

135420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 135420 is about 367.9945651773. The cubic root of 135420 is about 51.3524225775.

Adding to 135420 its reverse (24531), we get a palindrome (159951).

Subtracting from 135420 its reverse (24531), we obtain a square (110889 = 333²).

It can be divided in two parts, 135 and 420, that added together give a palindrome (555).

The spelling of 135420 in words is "one hundred thirty-five thousand, four hundred twenty".