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135577695 = 3511712163
BaseRepresentation
bin10000001010011…
…00000001011111
3100110010001122010
420011030001133
5234201441240
621241522303
73234251151
oct1005140137
9313101563
10135577695
116a591590
12394a3393
132211c4b6
1414012ad1
15bd81280
hex814c05f

135577695 has 48 divisors (see below), whose sum is σ = 241497216. Its totient is φ = 64411200.

The previous prime is 135577661. The next prime is 135577727. The reversal of 135577695 is 596775531.

It is not a de Polignac number, because 135577695 - 219 = 135053407 is a prime.

It is a super-2 number, since 2×1355776952 = 36762622763026050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 831684 + ... + 831846.

It is an arithmetic number, because the mean of its divisors is an integer number (5031192).

Almost surely, 2135577695 is an apocalyptic number.

135577695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135577695 is a deficient number, since it is larger than the sum of its proper divisors (105919521).

135577695 is a wasteful number, since it uses less digits than its factorization.

135577695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 253 counting only the distinct ones).

The product of its digits is 992250, while the sum is 48.

The square root of 135577695 is about 11643.7835345733. The cubic root of 135577695 is about 513.7234794297.

The spelling of 135577695 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, six hundred ninety-five".

Divisors: 1 3 5 11 15 33 55 71 163 165 213 355 489 781 815 1065 1793 2343 2445 3905 5041 5379 8965 11573 11715 15123 25205 26895 34719 55451 57865 75615 127303 166353 173595 277255 381909 636515 821683 831765 1909545 2465049 4108415 9038513 12325245 27115539 45192565 135577695