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137819118197 is a prime number
BaseRepresentation
bin1000000001011010101…
…0001101101001110101
3111011201211222121100002
42000112222031221311
54224223143240242
6143151354001045
712646200114215
oct2002652155165
9434654877302
10137819118197
11534a3332392
1222863416185
13ccc4ac55a7
146955b2a245
1538b952e432
hex2016a8da75

137819118197 has 2 divisors, whose sum is σ = 137819118198. Its totient is φ = 137819118196.

The previous prime is 137819118191. The next prime is 137819118209. The reversal of 137819118197 is 791811918731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137011762801 + 807355396 = 370151^2 + 28414^2 .

It is a cyclic number.

It is not a de Polignac number, because 137819118197 - 236 = 69099641461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137819118191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68909559098 + 68909559099.

It is an arithmetic number, because the mean of its divisors is an integer number (68909559099).

Almost surely, 2137819118197 is an apocalyptic number.

It is an amenable number.

137819118197 is a deficient number, since it is larger than the sum of its proper divisors (1).

137819118197 is an equidigital number, since it uses as much as digits as its factorization.

137819118197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 56.

The spelling of 137819118197 in words is "one hundred thirty-seven billion, eight hundred nineteen million, one hundred eighteen thousand, one hundred ninety-seven".