137438201 has 2 divisors, whose sum is σ = 137438202. Its totient is φ = 137438200.

The previous prime is 137438173. The next prime is 137438207. The reversal of 137438201 is 102834731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127351225 + 10086976 = 11285^2 + 3176^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438201 - 2⁶ = 137438137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137438207) 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, 68719100 + 68719101.

It is an arithmetic number, because the mean of its divisors is an integer number (68719101).

Almost surely, 2^137438201 is an apocalyptic number.

It is an amenable number.

137438201 is a deficient number, since it is larger than the sum of its proper divisors (1).

137438201 is an equidigital number, since it uses as much as digits as its factorization.

137438201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 137438201 is about 11723.4039851913. The cubic root of 137438201 is about 516.0627202269.

The spelling of 137438201 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, two hundred one".