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135384761 is a prime number
BaseRepresentation
bin10000001000111…
…00111010111001
3100102202020222102
420010130322321
5234124303021
621233433145
73232515521
oct1004347271
9312666872
10135384761
116a46a636
123940b7b5
1322082735
1413da2681
15bd4400b
hex811ceb9

135384761 has 2 divisors, whose sum is σ = 135384762. Its totient is φ = 135384760.

The previous prime is 135384727. The next prime is 135384779. The reversal of 135384761 is 167483531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86118400 + 49266361 = 9280^2 + 7019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135384761 is a prime.

It is a super-2 number, since 2×1353847612 = 36658067022054242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135384791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67692380 + 67692381.

It is an arithmetic number, because the mean of its divisors is an integer number (67692381).

Almost surely, 2135384761 is an apocalyptic number.

It is an amenable number.

135384761 is a deficient number, since it is larger than the sum of its proper divisors (1).

135384761 is an equidigital number, since it uses as much as digits as its factorization.

135384761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The square root of 135384761 is about 11635.4957350342. The cubic root of 135384761 is about 513.4796788102.

The spelling of 135384761 in words is "one hundred thirty-five million, three hundred eighty-four thousand, seven hundred sixty-one".