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134779128 = 233111759509
BaseRepresentation
bin10000000100010…
…01000011111000
3100101121111012120
420002021003320
5234000413003
621212441240
73224414031
oct1002110370
9311544176
10134779128
116a096610
1239179220
1321bccb83
1413c85a88
15bc74853
hex80890f8

134779128 has 128 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 37713920.

The previous prime is 134779081. The next prime is 134779133. The reversal of 134779128 is 821977431.

It is a self number, because there is not a number n which added to its sum of digits gives 134779128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264538 + ... + 265046.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2134779128 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 134779128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

134779128 is an abundant number, since it is smaller than the sum of its proper divisors (261796872).

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

134779128 is a wasteful number, since it uses less digits than its factorization.

134779128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 134779128 is about 11609.4413302277. The cubic root of 134779128 is about 512.7128640248.

The spelling of 134779128 in words is "one hundred thirty-four million, seven hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 59 66 68 88 102 118 132 136 177 187 204 236 264 354 374 408 472 509 561 649 708 748 1003 1018 1122 1298 1416 1496 1527 1947 2006 2036 2244 2596 3009 3054 3894 4012 4072 4488 5192 5599 6018 6108 7788 8024 8653 11033 11198 12036 12216 15576 16797 17306 22066 22396 24072 25959 30031 33099 33594 34612 44132 44792 51918 60062 66198 67188 69224 88264 90093 95183 103836 120124 132396 134376 180186 190366 207672 240248 264792 285549 330341 360372 380732 510527 571098 660682 720744 761464 991023 1021054 1142196 1321364 1531581 1982046 2042108 2284392 2642728 3063162 3964092 4084216 5615797 6126324 7928184 11231594 12252648 16847391 22463188 33694782 44926376 67389564 134779128