137009068057 has 2 divisors, whose sum is σ = 137009068058. Its totient is φ = 137009068056.

The previous prime is 137009068051. The next prime is 137009068073. The reversal of 137009068057 is 750860900731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70405846281 + 66603221776 = 265341^2 + 258076^2 .

It is a cyclic number.

It is not a de Polignac number, because 137009068057 - 2¹⁹ = 137008543769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137009067998 and 137009068016.

It is not a weakly prime, because it can be changed into another prime (137009068051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68504534028 + 68504534029.

It is an arithmetic number, because the mean of its divisors is an integer number (68504534029).

Almost surely, 2^137009068057 is an apocalyptic number.

It is an amenable number.

137009068057 is a deficient number, since it is larger than the sum of its proper divisors (1).

137009068057 is an equidigital number, since it uses as much as digits as its factorization.

137009068057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 46.

Adding to 137009068057 its reverse (750860900731), we get a palindrome (887869968788).

The spelling of 137009068057 in words is "one hundred thirty-seven billion, nine million, sixty-eight thousand, fifty-seven".