10145137 has 2 divisors, whose sum is σ = 10145138. Its totient is φ = 10145136.

The previous prime is 10145129. The next prime is 10145159. The reversal of 10145137 is 73154101.

It is an a-pointer prime, because the next prime (10145159) can be obtained adding 10145137 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9740641 + 404496 = 3121^2 + 636^2 .

It is an emirp because it is prime and its reverse (73154101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10145137 - 2³ = 10145129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10145117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072568 + 5072569.

It is an arithmetic number, because the mean of its divisors is an integer number (5072569).

Almost surely, 2^10145137 is an apocalyptic number.

It is an amenable number.

10145137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10145137 is an equidigital number, since it uses as much as digits as its factorization.

10145137 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 10145137 is about 3185.1431678969. The cubic root of 10145137 is about 216.4807607173.

Adding to 10145137 its reverse (73154101), we get a palindrome (83299238).

The spelling of 10145137 in words is "ten million, one hundred forty-five thousand, one hundred thirty-seven".