135024 has 40 divisors (see below), whose sum is σ = 364560. Its totient is φ = 43008.

The previous prime is 135019. The next prime is 135029. The reversal of 135024 is 420531.

It is an interprime number because it is at equal distance from previous prime (135019) and next prime (135029).

It is a junction number, because it is equal to n+sod(n) for n = 134994 and 135012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2¹³⁵⁰²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

135024 is an abundant number, since it is smaller than the sum of its proper divisors (229536).

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

135024 is a wasteful number, since it uses less digits than its factorization.

135024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

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

The square root of 135024 is about 367.4561198293. The cubic root of 135024 is about 51.3023181774.

Adding to 135024 its reverse (420531), we get a palindrome (555555).

It can be divided in two parts, 1350 and 24, that multiplied together give a square (32400 = 180²).

The spelling of 135024 in words is "one hundred thirty-five thousand, twenty-four".