135375992829 has 192 divisors, whose sum is σ = 257910681600. Its totient is φ = 66389621760.

The previous prime is 135375992797. The next prime is 135375992837. The reversal of 135375992829 is 928299573531.

135375992829 is a `hidden beast` number, since 1 + 3 + 5 + 37 + 599 + 2 + 8 + 2 + 9 = 666.

It is not a de Polignac number, because 135375992829 - 2⁵ = 135375992797 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135375992929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219409729 + ... + 219410345.

It is an arithmetic number, because the mean of its divisors is an integer number (1343284800).

Almost surely, 2^135375992829 is an apocalyptic number.

It is an amenable number.

135375992829 is a deficient number, since it is larger than the sum of its proper divisors (122534688771).

135375992829 is a wasteful number, since it uses less digits than its factorization.

135375992829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 917 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 135375992829 in words is "one hundred thirty-five billion, three hundred seventy-five million, nine hundred ninety-two thousand, eight hundred twenty-nine".