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134213223200 = 2552725799293
BaseRepresentation
bin111110011111110111…
…0110100001100100000
3110211102112212011022112
41330333232310030200
54144332041120300
6141353503054452
712460633400630
oct1747756641440
9424375764275
10134213223200
1151a12958081
12220178a1428
13c86ba30204
1466d2c846c0
153757ba5e35
hex1f3fbb4320

134213223200 has 144 divisors (see below), whose sum is σ = 374640396480. Its totient is φ = 45993169920.

The previous prime is 134213223173. The next prime is 134213223217. The reversal of 134213223200 is 2322312431.

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, 14437754 + ... + 14447046.

It is an arithmetic number, because the mean of its divisors is an integer number (2601669420).

Almost surely, 2134213223200 is an apocalyptic number.

134213223200 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 134213223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187320198240).

134213223200 is an abundant number, since it is smaller than the sum of its proper divisors (240427173280).

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

134213223200 is a wasteful number, since it uses less digits than its factorization.

134213223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 134213223200 its reverse (2322312431), we get a palindrome (136535535631).

The spelling of 134213223200 in words is "one hundred thirty-four billion, two hundred thirteen million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2579 2800 5158 5600 9293 10316 12895 18053 18586 20632 25790 36106 37172 41264 46465 51580 64475 65051 72212 74344 82528 90265 92930 103160 128950 130102 144424 148688 180530 185860 206320 232325 257900 260204 288848 297376 325255 361060 371720 412640 451325 464650 515800 520408 577696 650510 722120 743440 902650 929300 1031600 1040816 1301020 1444240 1486880 1626275 1805300 1858600 2063200 2081632 2602040 2888480 3252550 3610600 3717200 5204080 6505100 7221200 7434400 10408160 13010200 14442400 23966647 26020400 47933294 52040800 95866588 119833235 167766529 191733176 239666470 335533058 383466352 479332940 599166175 671066116 766932704 838832645 958665880 1198332350 1342132232 1677665290 1917331760 2396664700 2684264464 3355330580 3834663520 4194163225 4793329400 5368528928 6710661160 8388326450 9586658800 13421322320 16776652900 19173317600 26842644640 33553305800 67106611600 134213223200