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134163120 = 24357136143
BaseRepresentation
bin1111111111100…
…10101010110000
3100100110012012110
413333302222300
5233321204440
621151325320
73216240060
oct777625260
9310405173
10134163120
1169805813
1238b20840
1321a45680
1413b653a0
15bba2080
hex7ff2ab0

134163120 has 160 divisors (see below), whose sum is σ = 511967232. Its totient is φ = 28302336.

The previous prime is 134163103. The next prime is 134163137. The reversal of 134163120 is 21361431.

It is an interprime number because it is at equal distance from previous prime (134163103) and next prime (134163137).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18769 + ... + 24911.

Almost surely, 2134163120 is an apocalyptic number.

134163120 is a gapful number since it is divisible by the number (10) 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 134163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255983616).

134163120 is an abundant number, since it is smaller than the sum of its proper divisors (377804112).

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

134163120 is a wasteful number, since it uses less digits than its factorization.

134163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 134163120 is about 11582.8804707637. The cubic root of 134163120 is about 511.9305529179.

The spelling of 134163120 in words is "one hundred thirty-four million, one hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 6143 7280 10920 12286 18429 21840 24572 30715 36858 43001 49144 61430 73716 79859 86002 92145 98288 122860 129003 147432 159718 172004 184290 215005 239577 245720 258006 294864 319436 344008 368580 399295 430010 479154 491440 516012 559013 638872 645015 688016 737160 798590 860020 958308 1032024 1118026 1197885 1277744 1290030 1474320 1597180 1677039 1720040 1916616 2064048 2236052 2395770 2580060 2795065 3194360 3354078 3440080 3833232 4472104 4791540 5160120 5590130 6388720 6708156 8385195 8944208 9583080 10320240 11180260 13416312 16770390 19166160 22360520 26832624 33540780 44721040 67081560 134163120