135105399 has 48 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 74833920.

The previous prime is 135105361. The next prime is 135105413. The reversal of 135105399 is 993501531.

135105399 is a `hidden beast` number, since 1 + 3 + 510 + 53 + 99 = 666.

135105399 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135105399 - 2⁹ = 135104887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135105319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144967 + ... + 145895.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^135105399 is an apocalyptic number.

135105399 is a deficient number, since it is larger than the sum of its proper divisors (96442281).

135105399 is a wasteful number, since it uses less digits than its factorization.

135105399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 135105399 is about 11623.4848044810. The cubic root of 135105399 is about 513.1262527966.

The spelling of 135105399 in words is "one hundred thirty-five million, one hundred five thousand, three hundred ninety-nine".