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137754440576231 is a prime number
BaseRepresentation
bin11111010100100101110100…
…011111110010110011100111
3200001202012021211000110221012
4133110211310133302303213
5121023432043241414411
61204551303311212435
741005300312104443
oct3724456437626347
9601665254013835
10137754440576231
113a99036a4aa926
121354989751711b
135bb325a08935b
1426034c9aa7823
1510dd49849618b
hex7d49747f2ce7

137754440576231 has 2 divisors, whose sum is σ = 137754440576232. Its totient is φ = 137754440576230.

The previous prime is 137754440576227. The next prime is 137754440576261. The reversal of 137754440576231 is 132675044457731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137754440576231 - 22 = 137754440576227 is a prime.

It is a super-2 number, since 2×1377544405762312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137754440576261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68877220288115 + 68877220288116.

It is an arithmetic number, because the mean of its divisors is an integer number (68877220288116).

Almost surely, 2137754440576231 is an apocalyptic number.

137754440576231 is a deficient number, since it is larger than the sum of its proper divisors (1).

137754440576231 is an equidigital number, since it uses as much as digits as its factorization.

137754440576231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59270400, while the sum is 59.

The spelling of 137754440576231 in words is "one hundred thirty-seven trillion, seven hundred fifty-four billion, four hundred forty million, five hundred seventy-six thousand, two hundred thirty-one".