135040832256 has 576 divisors, whose sum is σ = 441680601600. Its totient is φ = 36398039040.

The previous prime is 135040832233. The next prime is 135040832261. The reversal of 135040832256 is 652238040531.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330172980 + ... + 330173388.

It is an arithmetic number, because the mean of its divisors is an integer number (766806600).

Almost surely, 2^135040832256 is an apocalyptic number.

135040832256 is a gapful number since it is divisible by the number (16) 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 135040832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220840300800).

135040832256 is an abundant number, since it is smaller than the sum of its proper divisors (306639769344).

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

135040832256 is a wasteful number, since it uses less digits than its factorization.

135040832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 135040832256 its reverse (652238040531), we get a palindrome (787278872787).

The spelling of 135040832256 in words is "one hundred thirty-five billion, forty million, eight hundred thirty-two thousand, two hundred fifty-six".