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137655265441 is a prime number
BaseRepresentation
bin1000000000110011100…
…1001010100010100001
3111011022102200000121111
42000030321022202201
54223404221443231
6143123222023321
712642140310331
oct2001471124241
9434272600544
10137655265441
1153419899391
1222818577b41
13cc99b862b5
14693c0770c1
1538a9e654b1
hex200ce4a8a1

137655265441 has 2 divisors, whose sum is σ = 137655265442. Its totient is φ = 137655265440.

The previous prime is 137655265421. The next prime is 137655265463. The reversal of 137655265441 is 144562556731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132485080225 + 5170185216 = 363985^2 + 71904^2 .

It is an emirp because it is prime and its reverse (144562556731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137655265441 - 27 = 137655265313 is a prime.

It is not a weakly prime, because it can be changed into another prime (137655265421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68827632720 + 68827632721.

It is an arithmetic number, because the mean of its divisors is an integer number (68827632721).

Almost surely, 2137655265441 is an apocalyptic number.

It is an amenable number.

137655265441 is a deficient number, since it is larger than the sum of its proper divisors (1).

137655265441 is an equidigital number, since it uses as much as digits as its factorization.

137655265441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024000, while the sum is 49.

The spelling of 137655265441 in words is "one hundred thirty-seven billion, six hundred fifty-five million, two hundred sixty-five thousand, four hundred forty-one".