135205424 has 40 divisors (see below), whose sum is σ = 272475120. Its totient is φ = 64915200.

The previous prime is 135205393. The next prime is 135205429. The reversal of 135205424 is 424502531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135205393 and 135205402.

It is not an unprimeable number, because it can be changed into a prime (135205429) 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, 97214 + ... + 98594.

It is an arithmetic number, because the mean of its divisors is an integer number (6811878).

Almost surely, 2^135205424 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 135205424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136237560).

135205424 is an abundant number, since it is smaller than the sum of its proper divisors (137269696).

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

135205424 is a wasteful number, since it uses less digits than its factorization.

135205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 135205424 is about 11627.7867197502. The cubic root of 135205424 is about 513.2528522091.

Adding to 135205424 its reverse (424502531), we get a palindrome (559707955).

The spelling of 135205424 in words is "one hundred thirty-five million, two hundred five thousand, four hundred twenty-four".