135204314614336 has 112 divisors (see below), whose sum is σ = 295060857956352. Its totient is φ = 60959975846400.

The previous prime is 135204314614289. The next prime is 135204314614357. The reversal of 135204314614336 is 633416413402531.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41747005 + ... + 44868931.

Almost surely, 2^{135204314614336} is an apocalyptic number.

135204314614336 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 135204314614336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147530428978176).

135204314614336 is an abundant number, since it is smaller than the sum of its proper divisors (159856543342016).

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

135204314614336 is a wasteful number, since it uses less digits than its factorization.

135204314614336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122448 (or 3122438 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 135204314614336 in words is "one hundred thirty-five trillion, two hundred four billion, three hundred fourteen million, six hundred fourteen thousand, three hundred thirty-six".