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137846909 is a prime number
BaseRepresentation
bin10000011011101…
…10000001111101
3100121101100102002
420031312001331
5240242100114
621402312045
73262452014
oct1015660175
9317340362
10137846909
11708a1472
123a1b8625
1322735325
1414443a7b
15c17d7de
hex837607d

137846909 has 2 divisors, whose sum is σ = 137846910. Its totient is φ = 137846908.

The previous prime is 137846887. The next prime is 137846927. The reversal of 137846909 is 909648731.

137846909 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., 131102500 + 6744409 = 11450^2 + 2597^2 .

It is a cyclic number.

It is not a de Polignac number, because 137846909 - 216 = 137781373 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 (137846209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68923454 + 68923455.

It is an arithmetic number, because the mean of its divisors is an integer number (68923455).

Almost surely, 2137846909 is an apocalyptic number.

It is an amenable number.

137846909 is a deficient number, since it is larger than the sum of its proper divisors (1).

137846909 is an equidigital number, since it uses as much as digits as its factorization.

137846909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 137846909 is about 11740.8223306547. The cubic root of 137846909 is about 516.5737625995.

The spelling of 137846909 in words is "one hundred thirty-seven million, eight hundred forty-six thousand, nine hundred nine".