13145813829 has 24 divisors (see below), whose sum is σ = 19889400960. Its totient is φ = 8350929312.

The previous prime is 13145813827. The next prime is 13145813851. The reversal of 13145813829 is 92831854131.

13145813829 is a `hidden beast` number, since 1 + 3 + 14 + 581 + 38 + 29 = 666.

13145813829 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 13145813829 - 2¹ = 13145813827 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145813827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66294 + ... + 175175.

It is an arithmetic number, because the mean of its divisors is an integer number (828725040).

Almost surely, 2^13145813829 is an apocalyptic number.

It is an amenable number.

13145813829 is a deficient number, since it is larger than the sum of its proper divisors (6743587131).

13145813829 is a wasteful number, since it uses less digits than its factorization.

13145813829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241761 (or 241758 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 13145813829 in words is "thirteen billion, one hundred forty-five million, eight hundred thirteen thousand, eight hundred twenty-nine".