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135164045 = 5533171609
BaseRepresentation
bin10000000111001…
…11000010001101
3100102100001012202
420003213002031
5234100222140
621225011245
73230606162
oct1003470215
9312301182
10135164045
116a329825
1239323b25
1322006133
1413d46069
15bced915
hex80e708d

135164045 has 16 divisors (see below), whose sum is σ = 165881520. Its totient is φ = 105690624.

The previous prime is 135164039. The next prime is 135164047. The reversal of 135164045 is 540461531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1044484 + 134119561 = 1022^2 + 11581^2 .

It is a cyclic number.

It is not a de Polignac number, because 135164045 - 226 = 68055181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135163999 and 135164017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135164047) 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 15 ways as a sum of consecutive naturals, for example, 83201 + ... + 84809.

It is an arithmetic number, because the mean of its divisors is an integer number (10367595).

Almost surely, 2135164045 is an apocalyptic number.

It is an amenable number.

135164045 is a deficient number, since it is larger than the sum of its proper divisors (30717475).

135164045 is a wasteful number, since it uses less digits than its factorization.

135164045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 135164045 is about 11626.0072681897. The cubic root of 135164045 is about 513.2004873061.

The spelling of 135164045 in words is "one hundred thirty-five million, one hundred sixty-four thousand, forty-five".

Divisors: 1 5 53 265 317 1585 1609 8045 16801 84005 85277 426385 510053 2550265 27032809 135164045