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137050909 is a prime number
BaseRepresentation
bin10000010101100…
…11101100011101
3100112212220111121
420022303230131
5240041112114
621333250541
73252625222
oct1012635435
9315786447
10137050909
11703a8416
1239a93a51
1322516c18
14142b7949
15c072a24
hex82b3b1d

137050909 has 2 divisors, whose sum is σ = 137050910. Its totient is φ = 137050908.

The previous prime is 137050883. The next prime is 137050931. The reversal of 137050909 is 909050731.

137050909 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., 130028409 + 7022500 = 11403^2 + 2650^2 .

It is a cyclic number.

It is not a de Polignac number, because 137050909 - 25 = 137050877 is a prime.

It is a super-3 number, since 3×1370509093 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137050939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68525454 + 68525455.

It is an arithmetic number, because the mean of its divisors is an integer number (68525455).

Almost surely, 2137050909 is an apocalyptic number.

It is an amenable number.

137050909 is a deficient number, since it is larger than the sum of its proper divisors (1).

137050909 is an equidigital number, since it uses as much as digits as its factorization.

137050909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 137050909 is about 11706.8744334259. The cubic root of 137050909 is about 515.5775203493.

The spelling of 137050909 in words is "one hundred thirty-seven million, fifty thousand, nine hundred nine".