Search a number
-
+
137915819 is a prime number
BaseRepresentation
bin10000011100001…
…10110110101011
3100121111211221022
420032012312223
5240301301234
621404003055
73263156636
oct1016066653
9317454838
10137915819
1170939218
123a23048b
132275a7c2
1414460c1d
15c193e2e
hex8386dab

137915819 has 2 divisors, whose sum is σ = 137915820. Its totient is φ = 137915818.

The previous prime is 137915779. The next prime is 137915857. The reversal of 137915819 is 918519731.

137915819 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 is a cyclic number.

It is not a de Polignac number, because 137915819 - 216 = 137850283 is a prime.

It is a super-2 number, since 2×1379158192 = 38041546260881522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137915819.

It is not a weakly prime, because it can be changed into another prime (137918819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68957909 + 68957910.

It is an arithmetic number, because the mean of its divisors is an integer number (68957910).

Almost surely, 2137915819 is an apocalyptic number.

137915819 is a deficient number, since it is larger than the sum of its proper divisors (1).

137915819 is an equidigital number, since it uses as much as digits as its factorization.

137915819 is an evil number, because the sum of its binary digits is even.

The product of its digits is 68040, while the sum is 44.

The square root of 137915819 is about 11743.7565965921. The cubic root of 137915819 is about 516.6598270802.

The spelling of 137915819 in words is "one hundred thirty-seven million, nine hundred fifteen thousand, eight hundred nineteen".