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137805818357 is a prime number
BaseRepresentation
bin1000000001010111011…
…1011110100111110101
3111011200220221220101102
42000111313132213311
54224211242141412
6143150200535445
712645646062164
oct2002567364765
9434626856342
10137805818357
1153496878a89
122285aa81585
13ccc2119a6c
1469540673db
1538b82a38c2
hex2015dde9f5

137805818357 has 2 divisors, whose sum is σ = 137805818358. Its totient is φ = 137805818356.

The previous prime is 137805818351. The next prime is 137805818377. The reversal of 137805818357 is 753818508731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112381834756 + 25423983601 = 335234^2 + 159449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137805818357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137805818351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68902909178 + 68902909179.

It is an arithmetic number, because the mean of its divisors is an integer number (68902909179).

Almost surely, 2137805818357 is an apocalyptic number.

It is an amenable number.

137805818357 is a deficient number, since it is larger than the sum of its proper divisors (1).

137805818357 is an equidigital number, since it uses as much as digits as its factorization.

137805818357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5644800, while the sum is 56.

The spelling of 137805818357 in words is "one hundred thirty-seven billion, eight hundred five million, eight hundred eighteen thousand, three hundred fifty-seven".