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138113141 is a prime number
BaseRepresentation
bin10000011101101…
…11000001110101
3100121212212121112
420032313001311
5240324110031
621412124405
73264641135
oct1016670165
9317785545
10138113141
1170a634a1
123a306705
13227c956a
14144b2ac5
15c1d262b
hex83b7075

138113141 has 2 divisors, whose sum is σ = 138113142. Its totient is φ = 138113140.

The previous prime is 138113111. The next prime is 138113179. The reversal of 138113141 is 141311831.

It is a happy number.

138113141 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., 131010916 + 7102225 = 11446^2 + 2665^2 .

It is a cyclic number.

It is not a de Polignac number, because 138113141 - 26 = 138113077 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138113111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69056570 + 69056571.

It is an arithmetic number, because the mean of its divisors is an integer number (69056571).

Almost surely, 2138113141 is an apocalyptic number.

It is an amenable number.

138113141 is a deficient number, since it is larger than the sum of its proper divisors (1).

138113141 is an equidigital number, since it uses as much as digits as its factorization.

138113141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 23.

The square root of 138113141 is about 11752.1547386001. The cubic root of 138113141 is about 516.9061120221.

Adding to 138113141 its reverse (141311831), we get a palindrome (279424972).

The spelling of 138113141 in words is "one hundred thirty-eight million, one hundred thirteen thousand, one hundred forty-one".