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134523445205200 = 245217107391842151
BaseRepresentation
bin11110100101100100101110…
…001010100101100011010000
3122122022022112012012112020211
4132211210232022211203100
5120113013003433031300
61154035114555213504
740222666243433212
oct3645445612454320
9578268465175224
10134523445205200
1139955088887a37
1213107665747294
135a0a677898c6c
142530d803c05b2
1510843e45d94ba
hex7a592e2a58d0

134523445205200 has 120 divisors (see below), whose sum is σ = 342235956479040. Its totient is φ = 50639377152000.

The previous prime is 134523445205197. The next prime is 134523445205257. The reversal of 134523445205200 is 2502544325431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 72104125 + ... + 73946275.

It is an arithmetic number, because the mean of its divisors is an integer number (2851966303992).

Almost surely, 2134523445205200 is an apocalyptic number.

134523445205200 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 134523445205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171117978239520).

134523445205200 is an abundant number, since it is smaller than the sum of its proper divisors (207712511273840).

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

134523445205200 is a wasteful number, since it uses less digits than its factorization.

134523445205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852925 (or 1852914 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 134523445205200 in words is "one hundred thirty-four trillion, five hundred twenty-three billion, four hundred forty-five million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 10739 21478 42956 53695 85912 107390 171824 182563 214780 268475 365126 429560 536950 730252 859120 912815 1073900 1460504 1825630 1842151 2147800 2921008 3651260 3684302 4295600 4564075 7302520 7368604 9128150 9210755 14605040 14737208 18256300 18421510 29474416 31316567 36512600 36843020 46053775 62633134 73025200 73686040 92107550 125266268 147372080 156582835 184215100 250532536 313165670 368430200 501065072 626331340 736860400 782914175 1252662680 1565828350 2505325360 3131656700 6263313400 12526626800 19782859589 39565719178 79131438356 98914297945 158262876712 197828595890 316525753424 336308613013 395657191780 494571489725 672617226026 791314383560 989142979450 1345234452052 1582628767120 1681543065065 1978285958900 2690468904104 3363086130130 3956571917800 5380937808208 6726172260260 7913143835600 8407715325325 13452344520520 16815430650650 26904689041040 33630861301300 67261722602600 134523445205200