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134015360 = 27519103107
BaseRepresentation
bin1111111110011…
…10100110000000
3100100011200111212
413333032212000
5233301442420
621144225252
73215053223
oct777164600
9310150455
10134015360
11697147a6
1238a6b228
13219c333b
1413b275ba
15bb733c5
hex7fce980

134015360 has 128 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 49821696.

The previous prime is 134015359. The next prime is 134015381. The reversal of 134015360 is 63510431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1252427 + ... + 1252533.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2134015360 is an apocalyptic number.

134015360 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 134015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

134015360 is an abundant number, since it is smaller than the sum of its proper divisors (209683840).

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

134015360 is a wasteful number, since it uses less digits than its factorization.

134015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 134015360 is about 11576.5003347298. The cubic root of 134015360 is about 511.7425463452.

Adding to 134015360 its reverse (63510431), we get a palindrome (197525791).

The spelling of 134015360 in words is "one hundred thirty-four million, fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 103 107 128 152 160 190 206 214 304 320 380 412 428 515 535 608 640 760 824 856 1030 1070 1216 1520 1648 1712 1957 2033 2060 2140 2432 3040 3296 3424 3914 4066 4120 4280 6080 6592 6848 7828 8132 8240 8560 9785 10165 11021 12160 13184 13696 15656 16264 16480 17120 19570 20330 22042 31312 32528 32960 34240 39140 40660 44084 55105 62624 65056 65920 68480 78280 81320 88168 110210 125248 130112 156560 162640 176336 209399 220420 250496 260224 313120 325280 352672 418798 440840 626240 650560 705344 837596 881680 1046995 1252480 1301120 1410688 1675192 1763360 2093990 3350384 3526720 4187980 6700768 7053440 8375960 13401536 16751920 26803072 33503840 67007680 134015360