135730224 has 180 divisors, whose sum is σ = 459400656. Its totient is φ = 36640512.

The previous prime is 135730223. The next prime is 135730229. The reversal of 135730224 is 422037531.

135730224 is a `hidden beast` number, since 1 + 357 + 302 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135730223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363702 + ... + 364074.

Almost surely, 2^135730224 is an apocalyptic number.

135730224 is a gapful number since it is divisible by the number (14) 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 135730224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229700328).

135730224 is an abundant number, since it is smaller than the sum of its proper divisors (323670432).

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

135730224 is a wasteful number, since it uses less digits than its factorization.

135730224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135730224 is about 11650.3314974296. The cubic root of 135730224 is about 513.9160587032.

Adding to 135730224 its reverse (422037531), we get a palindrome (557767755).

The spelling of 135730224 in words is "one hundred thirty-five million, seven hundred thirty thousand, two hundred twenty-four".