205151137 has 2 divisors, whose sum is σ = 205151138. Its totient is φ = 205151136.

The previous prime is 205151131. The next prime is 205151143. The reversal of 205151137 is 731151502.

205151137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (205151131) and next prime (205151143).

It can be written as a sum of positive squares in only one way, i.e., 104530176 + 100620961 = 10224^2 + 10031^2 .

It is a cyclic number.

It is not a de Polignac number, because 205151137 - 2³ = 205151129 is a prime.

It is not a weakly prime, because it can be changed into another prime (205151131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102575568 + 102575569.

It is an arithmetic number, because the mean of its divisors is an integer number (102575569).

Almost surely, 2^205151137 is an apocalyptic number.

It is an amenable number.

205151137 is a deficient number, since it is larger than the sum of its proper divisors (1).

205151137 is an equidigital number, since it uses as much as digits as its factorization.

205151137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 205151137 is about 14323.0980238215. The cubic root of 205151137 is about 589.7817223772.

The spelling of 205151137 in words is "two hundred five million, one hundred fifty-one thousand, one hundred thirty-seven".