2034848735137 has 2 divisors, whose sum is σ = 2034848735138. Its totient is φ = 2034848735136.

The previous prime is 2034848735107. The next prime is 2034848735159. The reversal of 2034848735137 is 7315378484302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1932422493456 + 102426241681 = 1390116^2 + 320041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2034848735137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2034848735107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017424367568 + 1017424367569.

It is an arithmetic number, because the mean of its divisors is an integer number (1017424367569).

Almost surely, 2^{2034848735137} is an apocalyptic number.

It is an amenable number.

2034848735137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034848735137 is an equidigital number, since it uses as much as digits as its factorization.

2034848735137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 2034848735137 in words is "two trillion, thirty-four billion, eight hundred forty-eight million, seven hundred thirty-five thousand, one hundred thirty-seven".