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134526168 = 233272172243
BaseRepresentation
bin10000000010010…
…11010011011000
3100101010122012200
420001023103120
5233414314133
621203210200
73222311400
oct1001132330
9311118180
10134526168
1169a33557
1239076960
1321b419aa
1413c1b800
15bc24913
hex804b4d8

134526168 has 144 divisors (see below), whose sum is σ = 448957080. Its totient is φ = 36158976.

The previous prime is 134526163. The next prime is 134526187. The reversal of 134526168 is 861625431.

It is a happy number.

134526168 is a `hidden beast` number, since 1 + 34 + 5 + 2 + 616 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134526163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58855 + ... + 61097.

Almost surely, 2134526168 is an apocalyptic number.

134526168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134526168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224478540).

134526168 is an abundant number, since it is smaller than the sum of its proper divisors (314430912).

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

134526168 is a wasteful number, since it uses less digits than its factorization.

134526168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2272 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 134526168 is about 11598.5416324640. The cubic root of 134526168 is about 512.3919016905.

The spelling of 134526168 in words is "one hundred thirty-four million, five hundred twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2243 2499 2856 3332 3528 4284 4486 4998 6664 6729 7497 8568 8972 9996 13458 14994 15701 17944 19992 20187 26916 29988 31402 38131 40374 47103 53832 59976 62804 76262 80748 94206 109907 114393 125608 141309 152524 161496 188412 219814 228786 266917 282618 305048 329721 343179 376824 439628 457572 533834 565236 659442 686358 800751 879256 915144 989163 1067668 1130472 1318884 1372716 1601502 1868419 1978326 2135336 2402253 2637768 2745432 3203004 3736838 3956652 4804506 5605257 6406008 7473676 7913304 9609012 11210514 14947352 16815771 19218024 22421028 33631542 44842056 67263084 134526168