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134127360 = 283353881
BaseRepresentation
bin1111111111010…
…01111100000000
3100100101101011000
413333221330000
5233314033420
621150452000
73216030603
oct777517400
9310341130
10134127360
1169790964
1238b04000
1321a32303
1413b5633a
15bb96690
hex7fe9f00

134127360 has 144 divisors (see below), whose sum is σ = 476088480. Its totient is φ = 35758080.

The previous prime is 134127341. The next prime is 134127377. The reversal of 134127360 is 63721431.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32620 + ... + 36500.

It is an arithmetic number, because the mean of its divisors is an integer number (3306170).

Almost surely, 2134127360 is an apocalyptic number.

134127360 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 134127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238044240).

134127360 is an abundant number, since it is smaller than the sum of its proper divisors (341961120).

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

134127360 is an equidigital number, since it uses as much as digits as its factorization.

134127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 134127360 is about 11581.3367104147. The cubic root of 134127360 is about 511.8850653470.

Adding to 134127360 its reverse (63721431), we get a palindrome (197848791).

The spelling of 134127360 in words is "one hundred thirty-four million, one hundred twenty-seven thousand, three 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 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 3881 4320 5760 6912 7762 8640 11520 11643 15524 17280 19405 23286 31048 34560 34929 38810 46572 58215 62096 69858 77620 93144 104787 116430 124192 139716 155240 174645 186288 209574 232860 248384 279432 310480 349290 372576 419148 465720 496768 523935 558864 620960 698580 745152 838296 931440 993536 1047870 1117728 1241920 1397160 1490304 1676592 1862880 2095740 2235456 2483840 2794320 2980608 3353184 3725760 4191480 4470912 4967680 5588640 6706368 7451520 8382960 8941824 11177280 13412736 14903040 16765920 22354560 26825472 33531840 44709120 67063680 134127360