Search a number
-
+
138041 is a prime number
BaseRepresentation
bin100001101100111001
321000100122
4201230321
513404131
62543025
71113311
oct415471
9230318
10138041
1194792
1267a75
134aaa7
1438441
152ad7b
hex21b39

138041 has 2 divisors, whose sum is σ = 138042. Its totient is φ = 138040.

The previous prime is 138007. The next prime is 138053. The reversal of 138041 is 140831.

It is a happy number.

138041 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., 137641 + 400 = 371^2 + 20^2 .

It is an emirp because it is prime and its reverse (140831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a zygodrome in base 7.

It is not a weakly prime, because it can be changed into another prime (138071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69020 + 69021.

It is an arithmetic number, because the mean of its divisors is an integer number (69021).

2138041 is an apocalyptic number.

It is an amenable number.

138041 is a deficient number, since it is larger than the sum of its proper divisors (1).

138041 is an equidigital number, since it uses as much as digits as its factorization.

138041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 138041 is about 371.5386924669. The cubic root of 138041 is about 51.6816097372.

Adding to 138041 its reverse (140831), we get a palindrome (278872).

The spelling of 138041 in words is "one hundred thirty-eight thousand, forty-one".