135568264104 has 384 divisors, whose sum is σ = 468333465600. Its totient is φ = 34475051520.

The previous prime is 135568264103. The next prime is 135568264123. The reversal of 135568264104 is 401462865531.

135568264104 is a `hidden beast` number, since 1 + 3 + 556 + 82 + 6 + 4 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135568264104.

It is not an unprimeable number, because it can be changed into a prime (135568264103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22254099 + ... + 22260189.

It is an arithmetic number, because the mean of its divisors is an integer number (1219618400).

Almost surely, 2^135568264104 is an apocalyptic number.

135568264104 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 135568264104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234166732800).

135568264104 is an abundant number, since it is smaller than the sum of its proper divisors (332765201496).

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

135568264104 is a wasteful number, since it uses less digits than its factorization.

135568264104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135568264104 in words is "one hundred thirty-five billion, five hundred sixty-eight million, two hundred sixty-four thousand, one hundred four".