Search a number
-
+
138114077 is a prime number
BaseRepresentation
bin10000011101101…
…11010000011101
3100121212220220012
420032313100131
5240324122302
621412133005
73264643643
oct1016672035
9317786805
10138114077
1170a64172
123a307165
13227c9b0a
14144b3193
15c1d2a52
hex83b741d

138114077 has 2 divisors, whose sum is σ = 138114078. Its totient is φ = 138114076.

The previous prime is 138114049. The next prime is 138114079. The reversal of 138114077 is 770411831.

It is a happy number.

138114077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138039001 + 75076 = 11749^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 138114077 - 214 = 138097693 is a prime.

Together with 138114079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138114079) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69057038 + 69057039.

It is an arithmetic number, because the mean of its divisors is an integer number (69057039).

Almost surely, 2138114077 is an apocalyptic number.

It is an amenable number.

138114077 is a deficient number, since it is larger than the sum of its proper divisors (1).

138114077 is an equidigital number, since it uses as much as digits as its factorization.

138114077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 138114077 is about 11752.1945610171. The cubic root of 138114077 is about 516.9072797194.

The spelling of 138114077 in words is "one hundred thirty-eight million, one hundred fourteen thousand, seventy-seven".