199952772137 has 2 divisors, whose sum is σ = 199952772138. Its totient is φ = 199952772136.

The previous prime is 199952772079. The next prime is 199952772157. The reversal of 199952772137 is 731277259991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134222580496 + 65730191641 = 366364^2 + 256379^2 .

It is a cyclic number.

It is not a de Polignac number, because 199952772137 - 2³² = 195657804841 is a prime.

It is a super-2 number, since 2×199952772137² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199952772137.

It is not a weakly prime, because it can be changed into another prime (199952772157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99976386068 + 99976386069.

It is an arithmetic number, because the mean of its divisors is an integer number (99976386069).

Almost surely, 2^199952772137 is an apocalyptic number.

It is an amenable number.

199952772137 is a deficient number, since it is larger than the sum of its proper divisors (1).

199952772137 is an equidigital number, since it uses as much as digits as its factorization.

199952772137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15002820, while the sum is 62.

The spelling of 199952772137 in words is "one hundred ninety-nine billion, nine hundred fifty-two million, seven hundred seventy-two thousand, one hundred thirty-seven".