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134765568 = 2103272089
BaseRepresentation
bin10000000100001…
…01110000000000
3100101120210121100
420002011300000
5233444444233
621212254400
73224326350
oct1002056000
9311523540
10134765568
116a087403
1239171400
1321bc6952
1413c80b60
15bc70813
hex8085c00

134765568 has 132 divisors (see below), whose sum is σ = 444935920. Its totient is φ = 38486016.

The previous prime is 134765567. The next prime is 134765611. The reversal of 134765568 is 865567431.

134765568 is a `hidden beast` number, since 13 + 4 + 76 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134765563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63468 + ... + 65556.

Almost surely, 2134765568 is an apocalyptic number.

134765568 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 134765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222467960).

134765568 is an abundant number, since it is smaller than the sum of its proper divisors (310170352).

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

134765568 is a wasteful number, since it uses less digits than its factorization.

134765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2101 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 134765568 is about 11608.8573081075. The cubic root of 134765568 is about 512.6956689301.

It can be divided in two parts, 13476 and 5568, that added together give a square (19044 = 1382).

The spelling of 134765568 in words is "one hundred thirty-four million, seven hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2089 2304 2688 3072 3584 4032 4178 4608 5376 6267 7168 8064 8356 9216 10752 12534 14623 16128 16712 18801 21504 25068 29246 32256 33424 37602 43869 50136 58492 64512 66848 75204 87738 100272 116984 131607 133696 150408 175476 200544 233968 263214 267392 300816 350952 401088 467936 526428 534784 601632 701904 802176 935872 1052856 1069568 1203264 1403808 1604352 1871744 2105712 2139136 2406528 2807616 3208704 3743488 4211424 4813056 5615232 6417408 7486976 8422848 9626112 11230464 14973952 16845696 19252224 22460928 33691392 44921856 67382784 134765568