Search a number
-
+
137885141 is a prime number
BaseRepresentation
bin10000011011111…
…11010111010101
3100121110021212002
420031333113111
5240244311031
621403205045
73263001332
oct1015772725
9317407762
10137885141
1170918169
123a216785
1322749854
1414453989
15c189ccb
hex837f5d5

137885141 has 2 divisors, whose sum is σ = 137885142. Its totient is φ = 137885140.

The previous prime is 137885087. The next prime is 137885149. The reversal of 137885141 is 141588731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96334225 + 41550916 = 9815^2 + 6446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137885141 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137885095 and 137885104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137885149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68942570 + 68942571.

It is an arithmetic number, because the mean of its divisors is an integer number (68942571).

Almost surely, 2137885141 is an apocalyptic number.

It is an amenable number.

137885141 is a deficient number, since it is larger than the sum of its proper divisors (1).

137885141 is an equidigital number, since it uses as much as digits as its factorization.

137885141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 38.

The square root of 137885141 is about 11742.4503831185. The cubic root of 137885141 is about 516.6215156289.

The spelling of 137885141 in words is "one hundred thirty-seven million, eight hundred eighty-five thousand, one hundred forty-one".