129807743233 has 40 divisors (see below), whose sum is σ = 157176098280. Its totient is φ = 107070001920.

The previous prime is 129807743227. The next prime is 129807743239. The reversal of 129807743233 is 332347708921.

It is an interprime number because it is at equal distance from previous prime (129807743227) and next prime (129807743239).

It can be written as a sum of positive squares in 4 ways, for example, as 12393923584 + 117413819649 = 111328^2 + 342657^2 .

It is not a de Polignac number, because 129807743233 - 2²⁵ = 129774188801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129807743239) 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 39 ways as a sum of consecutive naturals, for example, 22069453 + ... + 22075333.

It is an arithmetic number, because the mean of its divisors is an integer number (3929402457).

Almost surely, 2^129807743233 is an apocalyptic number.

It is an amenable number.

129807743233 is a deficient number, since it is larger than the sum of its proper divisors (27368355047).

129807743233 is an frugal number, since it uses more digits than its factorization.

129807743233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 129807743233 in words is "one hundred twenty-nine billion, eight hundred seven million, seven hundred forty-three thousand, two hundred thirty-three".