13794135075 has 72 divisors (see below), whose sum is σ = 28354319136. Its totient is φ = 6279552000.

The previous prime is 13794135067. The next prime is 13794135097. The reversal of 13794135075 is 57053149731.

13794135075 is a `hidden beast` number, since 137 + 9 + 4 + 1 + 3 + 507 + 5 = 666.

It is not a de Polignac number, because 13794135075 - 2³ = 13794135067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13794135075.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361405 + ... + 397745.

It is an arithmetic number, because the mean of its divisors is an integer number (393809988).

Almost surely, 2^13794135075 is an apocalyptic number.

13794135075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13794135075 is an abundant number, since it is smaller than the sum of its proper divisors (14560184061).

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

13794135075 is a wasteful number, since it uses less digits than its factorization.

13794135075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36605 (or 36597 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 13794135075 in words is "thirteen billion, seven hundred ninety-four million, one hundred thirty-five thousand, seventy-five".