135743975829 has 36 divisors (see below), whose sum is σ = 248821990560. Its totient is φ = 70516348560.

The previous prime is 135743975803. The next prime is 135743975833. The reversal of 135743975829 is 928579347531.

135743975829 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 43 + 9 + 7 + 582 + 9 = 666.

It is not a de Polignac number, because 135743975829 - 2¹⁶ = 135743910293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135743975849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13986489 + ... + 13996190.

It is an arithmetic number, because the mean of its divisors is an integer number (6911721960).

Almost surely, 2^135743975829 is an apocalyptic number.

It is an amenable number.

135743975829 is a deficient number, since it is larger than the sum of its proper divisors (113078014731).

135743975829 is a wasteful number, since it uses less digits than its factorization.

135743975829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27982710 (or 27982700 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 135743975829 in words is "one hundred thirty-five billion, seven hundred forty-three million, nine hundred seventy-five thousand, eight hundred twenty-nine".