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137209 is a prime number
BaseRepresentation
bin100001011111111001
320222012211
4201133321
513342314
62535121
71111012
oct413771
9228184
10137209
11940a6
12674a1
134a5b7
1438009
152a9c4
hex217f9

137209 has 2 divisors, whose sum is σ = 137210. Its totient is φ = 137208.

The previous prime is 137201. The next prime is 137219. The reversal of 137209 is 902731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 21609 = 340^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 137209 - 23 = 137201 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137209.

It is not a weakly prime, because it can be changed into another prime (137201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68604 + 68605.

It is an arithmetic number, because the mean of its divisors is an integer number (68605).

2137209 is an apocalyptic number.

It is an amenable number.

137209 is a deficient number, since it is larger than the sum of its proper divisors (1).

137209 is an equidigital number, since it uses as much as digits as its factorization.

137209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 137209 is about 370.4173322079. The cubic root of 137209 is about 51.5775687211.

The spelling of 137209 in words is "one hundred thirty-seven thousand, two hundred nine".