137318201 has 2 divisors, whose sum is σ = 137318202. Its totient is φ = 137318200.

The previous prime is 137318191. The next prime is 137318213. The reversal of 137318201 is 102813731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132802576 + 4515625 = 11524^2 + 2125^2 .

It is a cyclic number.

It is not a de Polignac number, because 137318201 - 2¹⁴ = 137301817 is a prime.

It is not a weakly prime, because it can be changed into another prime (137318281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68659100 + 68659101.

It is an arithmetic number, because the mean of its divisors is an integer number (68659101).

Almost surely, 2^137318201 is an apocalyptic number.

It is an amenable number.

137318201 is a deficient number, since it is larger than the sum of its proper divisors (1).

137318201 is an equidigital number, since it uses as much as digits as its factorization.

137318201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 137318201 is about 11718.2849001038. The cubic root of 137318201 is about 515.9124816515.

The spelling of 137318201 in words is "one hundred thirty-seven million, three hundred eighteen thousand, two hundred one".