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134763696 = 24332931347
BaseRepresentation
bin10000000100001…
…01010010110000
3100101120201001000
420002011102300
5233444414241
621212242000
73224321034
oct1002052260
9311521030
10134763696
116a085a61
1239170300
1321bc5b42
1413c801c4
15bc6eeb6
hex80854b0

134763696 has 160 divisors (see below), whose sum is σ = 414259200. Its totient is φ = 41852160.

The previous prime is 134763691. The next prime is 134763719. The reversal of 134763696 is 696367431.

134763696 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 636 + 9 + 6 = 666.

It is a super-2 number, since 2×1347636962 = 36322507519160832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134763691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388195 + ... + 388541.

It is an arithmetic number, because the mean of its divisors is an integer number (2589120).

Almost surely, 2134763696 is an apocalyptic number.

134763696 is a gapful number since it is divisible by the number (16) 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 134763696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207129600).

134763696 is an abundant number, since it is smaller than the sum of its proper divisors (279495504).

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

134763696 is a wasteful number, since it uses less digits than its factorization.

134763696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 134763696 is about 11608.7766797368. The cubic root of 134763696 is about 512.6932950034.

The spelling of 134763696 in words is "one hundred thirty-four million, seven hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 62 72 87 93 108 116 124 144 174 186 216 232 248 261 279 347 348 372 432 464 496 522 558 694 696 744 783 837 899 1041 1044 1116 1388 1392 1488 1566 1674 1798 2082 2088 2232 2697 2776 3123 3132 3348 3596 4164 4176 4464 5394 5552 6246 6264 6696 7192 8091 8328 9369 10063 10757 10788 12492 12528 13392 14384 16182 16656 18738 20126 21514 21576 24273 24984 30189 32271 32364 37476 40252 43028 43152 48546 49968 60378 64542 64728 74952 80504 86056 90567 96813 97092 120756 129084 129456 149904 161008 172112 181134 193626 194184 241512 258168 271701 290439 311953 362268 387252 388368 483024 516336 543402 580878 623906 724536 774504 935859 1086804 1161756 1247812 1449072 1549008 1871718 2173608 2323512 2495624 2807577 3743436 4347216 4647024 4991248 5615154 7486872 8422731 11230308 14973744 16845462 22460616 33690924 44921232 67381848 134763696