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134123360 = 2557313863
BaseRepresentation
bin1111111111010…
…00111101100000
3100100101011122212
413333220331200
5233313421420
621150421252
73216013130
oct777507540
9310334585
10134123360
1169788958
1238b01828
1321a30547
1413b54ac0
15bb953c5
hex7fe8f60

134123360 has 96 divisors (see below), whose sum is σ = 373911552. Its totient is φ = 44490240.

The previous prime is 134123359. The next prime is 134123371. The reversal of 134123360 is 63321431.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32789 + ... + 36651.

It is an arithmetic number, because the mean of its divisors is an integer number (3894912).

Almost surely, 2134123360 is an apocalyptic number.

134123360 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 134123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186955776).

134123360 is an abundant number, since it is smaller than the sum of its proper divisors (239788192).

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

134123360 is a wasteful number, since it uses less digits than its factorization.

134123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 134123360 is about 11581.1640174898. The cubic root of 134123360 is about 511.8799767491.

Adding to 134123360 its reverse (63321431), we get a palindrome (197444791).

The spelling of 134123360 in words is "one hundred thirty-four million, one hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 3863 4340 4960 6944 7726 8680 15452 17360 19315 27041 30904 34720 38630 54082 61808 77260 108164 119753 123616 135205 154520 216328 239506 270410 309040 432656 479012 540820 598765 618080 838271 865312 958024 1081640 1197530 1676542 1916048 2163280 2395060 3353084 3832096 4191355 4326560 4790120 6706168 8382710 9580240 13412336 16765420 19160480 26824672 33530840 67061680 134123360