38003773800137 has 2 divisors, whose sum is σ = 38003773800138. Its totient is φ = 38003773800136.

The previous prime is 38003773800133. The next prime is 38003773800151. The reversal of 38003773800137 is 73100837730083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37344553218361 + 659220581776 = 6111019^2 + 811924^2 .

It is an emirp because it is prime and its reverse (73100837730083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38003773800137 - 2² = 38003773800133 is a prime.

It is not a weakly prime, because it can be changed into another prime (38003773800133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19001886900068 + 19001886900069.

It is an arithmetic number, because the mean of its divisors is an integer number (19001886900069).

Almost surely, 2^{38003773800137} is an apocalyptic number.

It is an amenable number.

38003773800137 is a deficient number, since it is larger than the sum of its proper divisors (1).

38003773800137 is an equidigital number, since it uses as much as digits as its factorization.

38003773800137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 38003773800137 in words is "thirty-eight trillion, three billion, seven hundred seventy-three million, eight hundred thousand, one hundred thirty-seven".