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135367008 = 253734111
BaseRepresentation
bin10000001000110…
…00100101100000
3100102201100121220
420010120211200
5234123221013
621233215040
73232413000
oct1004304540
9312640556
10135367008
116a458267
1239401480
132207762a
1413d9a000
15bd3db23
hex8118960

135367008 has 96 divisors (see below), whose sum is σ = 414489600. Its totient is φ = 38666880.

The previous prime is 135366961. The next prime is 135367013. The reversal of 135367008 is 800763531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 135367008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30873 + ... + 34983.

It is an arithmetic number, because the mean of its divisors is an integer number (4317600).

Almost surely, 2135367008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135367008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207244800).

135367008 is an abundant number, since it is smaller than the sum of its proper divisors (279122592).

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

135367008 is an equidigital number, since it uses as much as digits as its factorization.

135367008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 135367008 is about 11634.7328289050. The cubic root of 135367008 is about 513.4572336370.

The spelling of 135367008 in words is "one hundred thirty-five million, three hundred sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4111 4116 4704 5488 8222 8232 10976 12333 16444 16464 24666 28777 32888 32928 49332 57554 65776 86331 98664 115108 131552 172662 197328 201439 230216 345324 394656 402878 460432 604317 690648 805756 920864 1208634 1381296 1410073 1611512 2417268 2762592 2820146 3223024 4230219 4834536 5640292 6446048 8460438 9669072 11280584 16920876 19338144 22561168 33841752 45122336 67683504 135367008