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135817248 = 2537202109
BaseRepresentation
bin10000001100001…
…10100000100000
3100110120020020110
420012012200200
5234232122443
621251011320
73236266440
oct1006064040
9313506213
10135817248
116a735566
1239599b40
13221a4548
1414076120
15bdcc233
hex8186820

135817248 has 48 divisors (see below), whose sum is σ = 407453760. Its totient is φ = 38804736.

The previous prime is 135817243. The next prime is 135817271. The reversal of 135817248 is 842718531.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (135817243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100383 + ... + 101726.

It is an arithmetic number, because the mean of its divisors is an integer number (8488620).

Almost surely, 2135817248 is an apocalyptic number.

It is an amenable number.

135817248 is an abundant number, since it is smaller than the sum of its proper divisors (271636512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135817248 is a wasteful number, since it uses less digits than its factorization.

135817248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202129 (or 202121 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 135817248 is about 11654.0657283199. The cubic root of 135817248 is about 514.0258683807.

The spelling of 135817248 in words is "one hundred thirty-five million, eight hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 202109 404218 606327 808436 1212654 1414763 1616872 2425308 2829526 3233744 4244289 4850616 5659052 6467488 8488578 9701232 11318104 16977156 19402464 22636208 33954312 45272416 67908624 135817248