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135298271137 is a prime number
BaseRepresentation
bin111111000000001100…
…1111100011110100001
3110221020011120022021011
41332000121330132201
54204042324134022
6142053303300521
712526550220661
oct1760031743641
9427204508234
10135298271137
115241a38a707
122227b14a741
13c9b2777303
1467970101a1
1537bd086977
hex1f8067c7a1

135298271137 has 2 divisors, whose sum is σ = 135298271138. Its totient is φ = 135298271136.

The previous prime is 135298271131. The next prime is 135298271149. The reversal of 135298271137 is 731172892531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73245468321 + 62052802816 = 270639^2 + 249104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135298271137 is a prime.

It is a super-2 number, since 2×1352982711372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135298271131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67649135568 + 67649135569.

It is an arithmetic number, because the mean of its divisors is an integer number (67649135569).

Almost surely, 2135298271137 is an apocalyptic number.

It is an amenable number.

135298271137 is a deficient number, since it is larger than the sum of its proper divisors (1).

135298271137 is an equidigital number, since it uses as much as digits as its factorization.

135298271137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040, while the sum is 49.

The spelling of 135298271137 in words is "one hundred thirty-five billion, two hundred ninety-eight million, two hundred seventy-one thousand, one hundred thirty-seven".