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134360668300 = 225273167307359
BaseRepresentation
bin111110100100010000…
…1010001100010001100
3110211210211022010222011
41331020201101202030
54200132312341200
6141420251231004
712464403560005
oct1751041214214
9424724263864
10134360668300
1151a89104831
1222059148464
13c893446231
1467086a61ac
153765acd5ba
hex1f4885188c

134360668300 has 144 divisors (see below), whose sum is σ = 299125854720. Its totient is φ = 52372707840.

The previous prime is 134360668283. The next prime is 134360668331. The reversal of 134360668300 is 3866063431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374263521 + ... + 374263879.

It is an arithmetic number, because the mean of its divisors is an integer number (2077262880).

Almost surely, 2134360668300 is an apocalyptic number.

134360668300 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 134360668300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149562927360).

134360668300 is an abundant number, since it is smaller than the sum of its proper divisors (164765186420).

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

134360668300 is a wasteful number, since it uses less digits than its factorization.

134360668300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 134360668300 in words is "one hundred thirty-four billion, three hundred sixty million, six hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 167 292 307 334 359 365 614 668 718 730 835 1228 1436 1460 1535 1670 1795 1825 3070 3340 3590 3650 4175 6140 7180 7300 7675 8350 8975 12191 15350 16700 17950 22411 24382 26207 30700 35900 44822 48764 51269 52414 59953 60955 89644 102538 104828 110213 112055 119906 121910 131035 205076 220426 224110 239812 243820 256345 262070 299765 304775 440852 448220 512690 524140 551065 560275 599530 609550 655175 1025380 1102130 1120550 1199060 1219100 1281725 1310350 1498825 2204260 2241100 2563450 2620700 2755325 2997650 3742637 4376569 5126900 5510650 5995300 7485274 8045549 8753138 11021300 14970548 16091098 17506276 18405571 18713185 21882845 32182196 36811142 37426370 40227745 43765690 73622284 74852740 80455490 87531380 92027855 93565925 109414225 160910980 184055710 187131850 201138725 218828450 368111420 374263700 402277450 437656900 460139275 804554900 920278550 1343606683 1840557100 2687213366 5374426732 6718033415 13436066830 26872133660 33590167075 67180334150 134360668300