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134796960 = 253553467
BaseRepresentation
bin10000000100011…
…01011010100000
3100101122101200000
420002031122200
5234002000320
621213100000
73224520024
oct1002153240
9311571600
10134796960
116a0a8a51
1239187600
1321c0801c
1413c8c384
15bc79c90
hex808d6a0

134796960 has 144 divisors (see below), whose sum is σ = 477169056. Its totient is φ = 35935488.

The previous prime is 134796953. The next prime is 134797037. The reversal of 134796960 is 69697431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37147 + ... + 40613.

It is an arithmetic number, because the mean of its divisors is an integer number (3313674).

Almost surely, 2134796960 is an apocalyptic number.

134796960 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 134796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238584528).

134796960 is an abundant number, since it is smaller than the sum of its proper divisors (342372096).

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

134796960 is an equidigital number, since it uses as much as digits as its factorization.

134796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 134796960 is about 11610.2093004390. The cubic root of 134796960 is about 512.7354745797.

The spelling of 134796960 in words is "one hundred thirty-four million, seven hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3467 3888 4320 4860 6480 6934 7776 9720 10401 12960 13868 17335 19440 20802 27736 31203 34670 38880 41604 52005 55472 62406 69340 83208 93609 104010 110944 124812 138680 156015 166416 187218 208020 249624 277360 280827 312030 332832 374436 416040 468045 499248 554720 561654 624060 748872 832080 842481 936090 998496 1123308 1248120 1404135 1497744 1664160 1684962 1872180 2246616 2496240 2808270 2995488 3369924 3744360 4212405 4493232 4992480 5616540 6739848 7488720 8424810 8986464 11233080 13479696 14977440 16849620 22466160 26959392 33699240 44932320 67398480 134796960