135424224 has 120 divisors (see below), whose sum is σ = 429022440. Its totient is φ = 41658624.

The previous prime is 135424187. The next prime is 135424241. The reversal of 135424224 is 422424531.

135424224 is a `hidden beast` number, since 13 + 5 + 424 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31687 + ... + 35705.

It is an arithmetic number, because the mean of its divisors is an integer number (3575187).

Almost surely, 2^135424224 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 135424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214511220).

135424224 is an abundant number, since it is smaller than the sum of its proper divisors (293598216).

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

135424224 is a wasteful number, since it uses less digits than its factorization.

135424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4037 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 135424224 is about 11637.1914137390. The cubic root of 135424224 is about 513.5295649763.

Adding to 135424224 its reverse (422424531), we get a palindrome (557848755).

It can be divided in two parts, 13542 and 4224, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 135424224 in words is "one hundred thirty-five million, four hundred twenty-four thousand, two hundred twenty-four".