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137754440566117 is a prime number
BaseRepresentation
bin11111010100100101110100…
…011111110000010101100101
3200001202012021210222222001121
4133110211310133300111211
5121023432043241103432
61204551303311053541
741005300312033114
oct3724456437602545
9601665253888047
10137754440566117
113a99036a4a3271
12135498975112b1
135bb325a08487b
1426034c9aa3c7b
1510dd498493197
hex7d49747f0565

137754440566117 has 2 divisors, whose sum is σ = 137754440566118. Its totient is φ = 137754440566116.

The previous prime is 137754440565877. The next prime is 137754440566231. The reversal of 137754440566117 is 711665044457731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121293966329316 + 16460474236801 = 11013354^2 + 4057151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137754440566117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137754440560117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68877220283058 + 68877220283059.

It is an arithmetic number, because the mean of its divisors is an integer number (68877220283059).

Almost surely, 2137754440566117 is an apocalyptic number.

It is an amenable number.

137754440566117 is a deficient number, since it is larger than the sum of its proper divisors (1).

137754440566117 is an equidigital number, since it uses as much as digits as its factorization.

137754440566117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 137754440566117 in words is "one hundred thirty-seven trillion, seven hundred fifty-four billion, four hundred forty million, five hundred sixty-six thousand, one hundred seventeen".