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135105575 = 5211259757
BaseRepresentation
bin10000000110110…
…00110000100111
3100102020002000012
420003120300213
5234041334300
621223440435
73230243543
oct1003306047
9312202005
10135105575
116a299900
12392b611b
1321cb5637
1413d2ca23
15bcdb435
hex80d8c27

135105575 has 36 divisors (see below), whose sum is σ = 187514040. Its totient is φ = 96465600.

The previous prime is 135105571. The next prime is 135105623. The reversal of 135105575 is 575501531.

It is not a de Polignac number, because 135105575 - 22 = 135105571 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135105571) 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 35 ways as a sum of consecutive naturals, for example, 178097 + ... + 178853.

Almost surely, 2135105575 is an apocalyptic number.

135105575 is a deficient number, since it is larger than the sum of its proper divisors (52408465).

135105575 is a wasteful number, since it uses less digits than its factorization.

135105575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 13125, while the sum is 32.

The square root of 135105575 is about 11623.4923753578. The cubic root of 135105575 is about 513.1264756107.

The spelling of 135105575 in words is "one hundred thirty-five million, one hundred five thousand, five hundred seventy-five".

Divisors: 1 5 11 25 55 59 121 275 295 605 649 757 1475 3025 3245 3785 7139 8327 16225 18925 35695 41635 44663 91597 178475 208175 223315 457985 491293 1116575 2289925 2456465 5404223 12282325 27021115 135105575