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138349 is a prime number
BaseRepresentation
bin100001110001101101
321000210001
4201301231
513411344
62544301
71114231
oct416155
9230701
10138349
1194a42
1268091
134ac83
14385c1
152aed4
hex21c6d

138349 has 2 divisors, whose sum is σ = 138350. Its totient is φ = 138348.

The previous prime is 138337. The next prime is 138371. The reversal of 138349 is 943831.

138349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 44100 = 307^2 + 210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138349 is a prime.

138349 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69174 + 69175.

It is an arithmetic number, because the mean of its divisors is an integer number (69175).

2138349 is an apocalyptic number.

It is an amenable number.

138349 is a deficient number, since it is larger than the sum of its proper divisors (1).

138349 is an equidigital number, since it uses as much as digits as its factorization.

138349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 138349 is about 371.9529540143. The cubic root of 138349 is about 51.7200188853.

The spelling of 138349 in words is "one hundred thirty-eight thousand, three hundred forty-nine".