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137546210657 is a prime number
BaseRepresentation
bin1000000000011001100…
…1001001110101100001
3111011000211110110120102
42000012121021311201
54223143312220112
6143104324352145
712636344333342
oct2000631116541
9434024413512
10137546210657
1153373282969
12227a7b45655
13cc803c223b
14692b7aa0c9
1538a05c2bc2
hex2006649d61

137546210657 has 2 divisors, whose sum is σ = 137546210658. Its totient is φ = 137546210656.

The previous prime is 137546210653. The next prime is 137546210689. The reversal of 137546210657 is 756012645731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99199171681 + 38347038976 = 314959^2 + 195824^2 .

It is a cyclic number.

It is not a de Polignac number, because 137546210657 - 22 = 137546210653 is a prime.

It is not a weakly prime, because it can be changed into another prime (137546210651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68773105328 + 68773105329.

It is an arithmetic number, because the mean of its divisors is an integer number (68773105329).

Almost surely, 2137546210657 is an apocalyptic number.

It is an amenable number.

137546210657 is a deficient number, since it is larger than the sum of its proper divisors (1).

137546210657 is an equidigital number, since it uses as much as digits as its factorization.

137546210657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 137546210657 in words is "one hundred thirty-seven billion, five hundred forty-six million, two hundred ten thousand, six hundred fifty-seven".