1002000137 has 2 divisors, whose sum is σ = 1002000138. Its totient is φ = 1002000136.

The previous prime is 1002000101. The next prime is 1002000173. The reversal of 1002000137 is 7310002001.

Together with next prime (1002000173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (1002000101) and next prime (1002000173).

It can be written as a sum of positive squares in only one way, i.e., 775678201 + 226321936 = 27851^2 + 15044^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002000137 - 2²² = 997805833 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002000187) 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, 501000068 + 501000069.

It is an arithmetic number, because the mean of its divisors is an integer number (501000069).

Almost surely, 2^1002000137 is an apocalyptic number.

It is an amenable number.

1002000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000137 is an equidigital number, since it uses as much as digits as its factorization.

1002000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1002000137 is about 31654.3857466860. The cubic root of 1002000137 is about 1000.6662683213. Note that the first 3 decimals are identical.

Adding to 1002000137 its reverse (7310002001), we get a palindrome (8312002138).

The spelling of 1002000137 in words is "one billion, two million, one hundred thirty-seven", and thus it is an aban number.