135607356864 has 336 divisors, whose sum is σ = 461149817856. Its totient is φ = 37295769600.

The previous prime is 135607356839. The next prime is 135607356887. The reversal of 135607356864 is 468653706531.

135607356864 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 73 + 568 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 135607356864.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 11553879 + ... + 11565609.

It is an arithmetic number, because the mean of its divisors is an integer number (1372469696).

Almost surely, 2^135607356864 is an apocalyptic number.

135607356864 is a gapful number since it is divisible by the number (14) 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 135607356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230574908928).

135607356864 is an abundant number, since it is smaller than the sum of its proper divisors (325542460992).

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

135607356864 is a wasteful number, since it uses less digits than its factorization.

135607356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 135607356864 in words is "one hundred thirty-five billion, six hundred seven million, three hundred fifty-six thousand, eight hundred sixty-four".