135824859102336 has 64 divisors (see below), whose sum is σ = 360793190459520. Its totient is φ = 45273897853952.

The previous prime is 135824859102319. The next prime is 135824859102343. The reversal of 135824859102336 is 633201958428531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 135824859102336.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12462841 + ... + 20663303.

It is an arithmetic number, because the mean of its divisors is an integer number (5637393600930).

Almost surely, 2^{135824859102336} is an apocalyptic number.

135824859102336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135824859102336 is an abundant number, since it is smaller than the sum of its proper divisors (224968331357184).

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

135824859102336 is an equidigital number, since it uses as much as digits as its factorization.

135824859102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243613 (or 8243601 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 135824859102336 in words is "one hundred thirty-five trillion, eight hundred twenty-four billion, eight hundred fifty-nine million, one hundred two thousand, three hundred thirty-six".