1000137137 has 2 divisors, whose sum is σ = 1000137138. Its totient is φ = 1000137136.

The previous prime is 1000137133. The next prime is 1000137139. The reversal of 1000137137 is 7317310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 733272241 + 266864896 = 27079^2 + 16336^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000137137 - 2² = 1000137133 is a prime.

Together with 1000137139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000137133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500068568 + 500068569.

It is an arithmetic number, because the mean of its divisors is an integer number (500068569).

Almost surely, 2^1000137137 is an apocalyptic number.

It is an amenable number.

1000137137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000137137 is an equidigital number, since it uses as much as digits as its factorization.

1000137137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 1000137137 is about 31624.9448537069. The cubic root of 1000137137 is about 1000.0457102439.

Adding to 1000137137 its reverse (7317310001), we get a palindrome (8317447138).

The spelling of 1000137137 in words is "one billion, one hundred thirty-seven thousand, one hundred thirty-seven".