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135414817 is a prime number
BaseRepresentation
bin10000001001001…
…00010000100001
3100102210210012121
420010210100201
5234131233232
621234224241
73233002246
oct1004442041
9312723177
10135414817
116a49017a
1239425081
1322093315
1413dad5cd
15bd4cd97
hex8124421

135414817 has 2 divisors, whose sum is σ = 135414818. Its totient is φ = 135414816.

The previous prime is 135414787. The next prime is 135414847. The reversal of 135414817 is 718414531.

It is a balanced prime because it is at equal distance from previous prime (135414787) and next prime (135414847).

It can be written as a sum of positive squares in only one way, i.e., 90041121 + 45373696 = 9489^2 + 6736^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135414817 is a prime.

It is equal to p7667611 and since 135414817 and 7667611 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (135414847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67707408 + 67707409.

It is an arithmetic number, because the mean of its divisors is an integer number (67707409).

Almost surely, 2135414817 is an apocalyptic number.

It is an amenable number.

135414817 is a deficient number, since it is larger than the sum of its proper divisors (1).

135414817 is an equidigital number, since it uses as much as digits as its factorization.

135414817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 34.

The square root of 135414817 is about 11636.7872284407. The cubic root of 135414817 is about 513.5176742320.

The spelling of 135414817 in words is "one hundred thirty-five million, four hundred fourteen thousand, eight hundred seventeen".