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134518199200 = 25527112183737
BaseRepresentation
bin111110101000111101…
…0001101001110100000
3110212012210201112201221
41331101322031032200
54200443124333300
6141444035504424
712501325553530
oct1752172151640
9425183645657
10134518199200
115205a020060
12220a1a58114
13c8b9c80b98
1467215914c0
15377484931a
hex1f51e8d3a0

134518199200 has 144 divisors (see below), whose sum is σ = 409424670144. Its totient is φ = 41927731200.

The previous prime is 134518199183. The next prime is 134518199201. The reversal of 134518199200 is 2991815431.

It is a super-3 number, since 3×1345181992003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134518199201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030269 + ... + 1153468.

It is an arithmetic number, because the mean of its divisors is an integer number (2843226876).

Almost surely, 2134518199200 is an apocalyptic number.

134518199200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134518199200 is an abundant number, since it is smaller than the sum of its proper divisors (274906470944).

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

134518199200 is a wasteful number, since it uses less digits than its factorization.

134518199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183775 (or 2183762 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 134518199200 in words is "one hundred thirty-four billion, five hundred eighteen million, one hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2200 2464 2800 3080 3850 4400 5600 6160 7700 8800 12320 15400 30800 61600 2183737 4367474 8734948 10918685 15286159 17469896 21837370 24021107 30572318 34939792 43674740 48042214 54593425 61144636 69879584 76430795 87349480 96084428 109186850 120105535 122289272 152861590 168147749 174698960 192168856 218373700 240211070 244578544 305723180 336295498 349397920 382153975 384337712 436747400 480422140 489157088 600527675 611446360 672590996 764307950 768675424 840738745 873494800 960844280 1201055350 1222892720 1345181992 1528615900 1681477490 1746989600 1921688560 2402110700 2445785440 2690363984 3057231800 3362954980 3843377120 4203693725 4804221400 5380727968 6114463600 6725909960 8407387450 9608442800 12228927200 13451819920 16814774900 19216885600 26903639840 33629549800 67259099600 134518199200