34545241305137 has 2 divisors, whose sum is σ = 34545241305138. Its totient is φ = 34545241305136.

The previous prime is 34545241305089. The next prime is 34545241305173. The reversal of 34545241305137 is 73150314254543.

Together with next prime (34545241305173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33648364119841 + 896877185296 = 5800721^2 + 947036^2 .

It is a cyclic number.

It is not a de Polignac number, because 34545241305137 - 2⁸ = 34545241304881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34545241305091 and 34545241305100.

It is not a weakly prime, because it can be changed into another prime (34545241605137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17272620652568 + 17272620652569.

It is an arithmetic number, because the mean of its divisors is an integer number (17272620652569).

Almost surely, 2^{34545241305137} is an apocalyptic number.

It is an amenable number.

34545241305137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34545241305137 is an equidigital number, since it uses as much as digits as its factorization.

34545241305137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 47.

The spelling of 34545241305137 in words is "thirty-four trillion, five hundred forty-five billion, two hundred forty-one million, three hundred five thousand, one hundred thirty-seven".