1005140137 has 2 divisors, whose sum is σ = 1005140138. Its totient is φ = 1005140136.

The previous prime is 1005140119. The next prime is 1005140141. The reversal of 1005140137 is 7310415001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 771783961 + 233356176 = 27781^2 + 15276^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005140137 - 2⁷ = 1005140009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005140197) 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, 502570068 + 502570069.

It is an arithmetic number, because the mean of its divisors is an integer number (502570069).

Almost surely, 2^1005140137 is an apocalyptic number.

It is an amenable number.

1005140137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005140137 is an equidigital number, since it uses as much as digits as its factorization.

1005140137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1005140137 is about 31703.9451330588. The cubic root of 1005140137 is about 1001.7104516870.

Adding to 1005140137 its reverse (7310415001), we get a palindrome (8315555138).

The spelling of 1005140137 in words is "one billion, five million, one hundred forty thousand, one hundred thirty-seven".