135412243232 has 54 divisors (see below), whose sum is σ = 310151592513. Its totient is φ = 58027573632.

The previous prime is 135412243223. The next prime is 135412243237. The reversal of 135412243232 is 232342214531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 103629911056 + 31782332176 = 321916^2 + 178276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=260204.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (135412243237) 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 8 ways as a sum of consecutive naturals, for example, 14566778 + ... + 14576070.

Almost surely, 2^135412243232 is an apocalyptic number.

It is an amenable number.

135412243232 is an abundant number, since it is smaller than the sum of its proper divisors (174739349281).

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

135412243232 is an frugal number, since it uses more digits than its factorization.

135412243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18610 (or 9302 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

Multiplying 135412243232 by its sum of digits (32), we get a square (4333191783424 = 2081632²).

135412243232 divided by its sum of digits (32) gives a square (4231632601 = 65051²).

Adding to 135412243232 its reverse (232342214531), we get a palindrome (367754457763).

The spelling of 135412243232 in words is "one hundred thirty-five billion, four hundred twelve million, two hundred forty-three thousand, two hundred thirty-two".