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134097120 = 253553449
BaseRepresentation
bin1111111111000…
…10100011100000
3100100022211200000
413333202203200
5233312101440
621150100000
73215543463
oct777424340
9310284600
10134097120
1169770173
1238aaa600
1321a21611
1413b492da
15bb8c730
hex7fe28e0

134097120 has 144 divisors (see below), whose sum is σ = 474692400. Its totient is φ = 35748864.

The previous prime is 134097113. The next prime is 134097127. The reversal of 134097120 is 21790431.

It is an interprime number because it is at equal distance from previous prime (134097113) and next prime (134097127).

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 not an unprimeable number, because it can be changed into a prime (134097127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37156 + ... + 40604.

It is an arithmetic number, because the mean of its divisors is an integer number (3296475).

Almost surely, 2134097120 is an apocalyptic number.

134097120 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 134097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237346200).

134097120 is an abundant number, since it is smaller than the sum of its proper divisors (340595280).

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

134097120 is an equidigital number, since it uses as much as digits as its factorization.

134097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 134097120 is about 11580.0310880412. The cubic root of 134097120 is about 511.8465930377.

The spelling of 134097120 in words is "one hundred thirty-four million, ninety-seven thousand, one hundred twenty".

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 3449 3888 4320 4860 6480 6898 7776 9720 10347 12960 13796 17245 19440 20694 27592 31041 34490 38880 41388 51735 55184 62082 68980 82776 93123 103470 110368 124164 137960 155205 165552 186246 206940 248328 275920 279369 310410 331104 372492 413880 465615 496656 551840 558738 620820 744984 827760 838107 931230 993312 1117476 1241640 1396845 1489968 1655520 1676214 1862460 2234952 2483280 2793690 2979936 3352428 3724920 4190535 4469904 4966560 5587380 6704856 7449840 8381070 8939808 11174760 13409712 14899680 16762140 22349520 26819424 33524280 44699040 67048560 134097120