73745600654137 has 2 divisors, whose sum is σ = 73745600654138. Its totient is φ = 73745600654136.

The previous prime is 73745600654087. The next prime is 73745600654177. The reversal of 73745600654137 is 73145600654737.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66353096439081 + 7392504215056 = 8145741^2 + 2718916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73745600654137 is a prime.

It is not a weakly prime, because it can be changed into another prime (73745600654177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36872800327068 + 36872800327069.

It is an arithmetic number, because the mean of its divisors is an integer number (36872800327069).

Almost surely, 2^{73745600654137} is an apocalyptic number.

It is an amenable number.

73745600654137 is a deficient number, since it is larger than the sum of its proper divisors (1).

73745600654137 is an equidigital number, since it uses as much as digits as its factorization.

73745600654137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44452800, while the sum is 58.

The spelling of 73745600654137 in words is "seventy-three trillion, seven hundred forty-five billion, six hundred million, six hundred fifty-four thousand, one hundred thirty-seven".