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137409689 is a prime number
BaseRepresentation
bin10000011000010…
…11010010011001
3100120120010122202
420030023102121
5240134102224
621345055545
73255651224
oct1014132231
9316503582
10137409689
1170622a2a
123a0275b5
1322611311
141436c5bb
15c0e3eae
hex830b499

137409689 has 2 divisors, whose sum is σ = 137409690. Its totient is φ = 137409688.

The previous prime is 137409661. The next prime is 137409703. The reversal of 137409689 is 986904731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101505625 + 35904064 = 10075^2 + 5992^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137409689 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137403689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68704844 + 68704845.

It is an arithmetic number, because the mean of its divisors is an integer number (68704845).

Almost surely, 2137409689 is an apocalyptic number.

It is an amenable number.

137409689 is a deficient number, since it is larger than the sum of its proper divisors (1).

137409689 is an equidigital number, since it uses as much as digits as its factorization.

137409689 is an odious number, because the sum of its binary digits is odd.

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

The square root of 137409689 is about 11722.1878930514. The cubic root of 137409689 is about 516.0270314645.

The spelling of 137409689 in words is "one hundred thirty-seven million, four hundred nine thousand, six hundred eighty-nine".