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135162441 = 3222965581
BaseRepresentation
bin10000000111001…
…10101001001001
3100102022222000100
420003212221021
5234100144231
621225000013
73230601411
oct1003465111
9312288010
10135162441
116a3285a7
1239323009
132200549b
1413d45641
15bced1e6
hex80e6a49

135162441 has 12 divisors (see below), whose sum is σ = 196090180. Its totient is φ = 89713440.

The previous prime is 135162437. The next prime is 135162473. The reversal of 135162441 is 144261531.

It is a happy number.

135162441 is a `hidden beast` number, since 1 + 35 + 1 + 624 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60512841 + 74649600 = 7779^2 + 8640^2 .

It is not a de Polignac number, because 135162441 - 22 = 135162437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135162481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30730 + ... + 34851.

Almost surely, 2135162441 is an apocalyptic number.

It is an amenable number.

135162441 is a deficient number, since it is larger than the sum of its proper divisors (60927739).

135162441 is a wasteful number, since it uses less digits than its factorization.

135162441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65816 (or 65813 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 135162441 is about 11625.9382847149. The cubic root of 135162441 is about 513.1984572375.

The spelling of 135162441 in words is "one hundred thirty-five million, one hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 3 9 229 687 2061 65581 196743 590229 15018049 45054147 135162441