4137665164129 has 16 divisors (see below), whose sum is σ = 4738502240640. Its totient is φ = 3539264935680.

The previous prime is 4137665164057. The next prime is 4137665164147. The reversal of 4137665164129 is 9214615667314.

4137665164129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4137665164129 - 2³⁹ = 3587909350241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4137665164129.

It is not an unprimeable number, because it can be changed into a prime (4137665164169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41748057 + ... + 41847049.

It is an arithmetic number, because the mean of its divisors is an integer number (296156390040).

Almost surely, 2^{4137665164129} is an apocalyptic number.

It is an amenable number.

4137665164129 is a deficient number, since it is larger than the sum of its proper divisors (600837076511).

4137665164129 is a wasteful number, since it uses less digits than its factorization.

4137665164129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111240.

The product of its digits is 6531840, while the sum is 55.

The spelling of 4137665164129 in words is "four trillion, one hundred thirty-seven billion, six hundred sixty-five million, one hundred sixty-four thousand, one hundred twenty-nine".