2002145003137 has 2 divisors, whose sum is σ = 2002145003138. Its totient is φ = 2002145003136.

The previous prime is 2002145003123. The next prime is 2002145003203. The reversal of 2002145003137 is 7313005412002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1493420867136 + 508724136001 = 1222056^2 + 713249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002145003137 - 2⁷ = 2002145003009 is a prime.

It is a super-2 number, since 2×2002145003137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002145063137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001072501568 + 1001072501569.

It is an arithmetic number, because the mean of its divisors is an integer number (1001072501569).

Almost surely, 2^{2002145003137} is an apocalyptic number.

It is an amenable number.

2002145003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002145003137 is an equidigital number, since it uses as much as digits as its factorization.

2002145003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 2002145003137 in words is "two trillion, two billion, one hundred forty-five million, three thousand, one hundred thirty-seven".