135043020324 has 81 divisors (see below), whose sum is σ = 346511955153. Its totient is φ = 44344787904.

The previous prime is 135043020293. The next prime is 135043020361. The reversal of 135043020324 is 423020340531.

The square root of 135043020324 is 367482.

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

135043020324 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 430 + 203 + 24 = 666.

135043020324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76656996900 + 58386023424 = 276870^2 + 241632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160956697 + ... + 160957535.

Almost surely, 2^135043020324 is an apocalyptic number.

135043020324 is the 367482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135043020324

135043020324 is an abundant number, since it is smaller than the sum of its proper divisors (211468934829).

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

135043020324 is an frugal number, since it uses more digits than its factorization.

135043020324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 135043020324 its reverse (423020340531), we get a palindrome (558063360855).

The spelling of 135043020324 in words is "one hundred thirty-five billion, forty-three million, twenty thousand, three hundred twenty-four".