135240 has 96 divisors (see below), whose sum is σ = 492480. Its totient is φ = 29568.

The previous prime is 135221. The next prime is 135241. The reversal of 135240 is 42531.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (135241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5869 + ... + 5891.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2¹³⁵²⁴⁰ is an apocalyptic number.

135240 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 135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

135240 is an abundant number, since it is smaller than the sum of its proper divisors (357240).

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

135240 is a wasteful number, since it uses less digits than its factorization.

135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

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

The square root of 135240 is about 367.7499150238. The cubic root of 135240 is about 51.3296599759.

Adding to 135240 its reverse (42531), we get a palindrome (177771).

It can be divided in two parts, 135 and 240, that multiplied together give a square (32400 = 180²).

The spelling of 135240 in words is "one hundred thirty-five thousand, two hundred forty".