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135133763617 is a prime number
BaseRepresentation
bin111110111011010011…
…0011001100000100001
3110220210201000110101001
41331312212121200201
54203223220413432
6142025105312001
712522512016136
oct1756646314041
9426721013331
10135133763617
1152345539786
1222234035601
13c987668c98
14677d22a58d
1537ad8dd9e7
hex1f76999821

135133763617 has 2 divisors, whose sum is σ = 135133763618. Its totient is φ = 135133763616.

The previous prime is 135133763587. The next prime is 135133763659. The reversal of 135133763617 is 716367331531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69192145936 + 65941617681 = 263044^2 + 256791^2 .

It is a cyclic number.

It is not a de Polignac number, because 135133763617 - 235 = 100774025249 is a prime.

It is a super-2 number, since 2×1351337636172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135133733617) 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, 67566881808 + 67566881809.

It is an arithmetic number, because the mean of its divisors is an integer number (67566881809).

Almost surely, 2135133763617 is an apocalyptic number.

It is an amenable number.

135133763617 is a deficient number, since it is larger than the sum of its proper divisors (1).

135133763617 is an equidigital number, since it uses as much as digits as its factorization.

135133763617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 714420, while the sum is 46.

The spelling of 135133763617 in words is "one hundred thirty-five billion, one hundred thirty-three million, seven hundred sixty-three thousand, six hundred seventeen".