135405233424 has 60 divisors (see below), whose sum is σ = 379042638156. Its totient is φ = 45123638016.

The previous prime is 135405233423. The next prime is 135405233443. The reversal of 135405233424 is 424332504531.

135405233424 is a `hidden beast` number, since 13 + 5 + 405 + 233 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106450807824 + 28954425600 = 326268^2 + 170160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135405233423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 460714 + ... + 695030.

Almost surely, 2^135405233424 is an apocalyptic number.

It is an amenable number.

135405233424 is an abundant number, since it is smaller than the sum of its proper divisors (243637404732).

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

135405233424 is a wasteful number, since it uses less digits than its factorization.

135405233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238344 (or 238335 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 135405233424 its reverse (424332504531), we get a palindrome (559737737955).

The spelling of 135405233424 in words is "one hundred thirty-five billion, four hundred five million, two hundred thirty-three thousand, four hundred twenty-four".