135424 has 27 divisors (see below), whose sum is σ = 282583. Its totient is φ = 64768.

The previous prime is 135409. The next prime is 135427. The reversal of 135424 is 424531.

135424 = T₃₆₇ + T₃₆₈.

The square root of 135424 is 368.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 16.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5877 + ... + 5899.

135424 is a Friedman number, since it can be written as (413-45)^2, using all its digits and the basic arithmetic operations.

2¹³⁵⁴²⁴ is an apocalyptic number.

135424 is the 368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135424

135424 is an abundant number, since it is smaller than the sum of its proper divisors (147159).

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

135424 is an frugal number, since it uses more digits than its factorization.

135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The cubic root of 135424 is about 51.3529281840.

Adding to 135424 its reverse (424531), we get a palindrome (559955).

It can be divided in two parts, 1354 and 24, that added together give a triangular number (1378 = T₅₂).

The spelling of 135424 in words is "one hundred thirty-five thousand, four hundred twenty-four".