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134512270000 = 2454106912583
BaseRepresentation
bin111110101000110001…
…1100101101010110000
3110212012101120022101221
41331101203211222300
54200440120120000
6141443304434424
712501224300323
oct1752143455260
9425171508357
10134512270000
1152056740399
122209ba78a14
13c8b8986194
14672088a7ba
15377407761a
hex1f518e5ab0

134512270000 has 100 divisors (see below), whose sum is σ = 325998209680. Its totient is φ = 53750304000.

The previous prime is 134512269979. The next prime is 134512270003. The reversal of 134512270000 is 72215431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (134512270003) 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 19 ways as a sum of consecutive naturals, for example, 10683709 + ... + 10696291.

Almost surely, 2134512270000 is an apocalyptic number.

134512270000 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 134512270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162999104840).

134512270000 is an abundant number, since it is smaller than the sum of its proper divisors (191485939680).

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

134512270000 is a wasteful number, since it uses less digits than its factorization.

134512270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13680 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 134512270000 its reverse (72215431), we get a palindrome (134584485431).

The spelling of 134512270000 in words is "one hundred thirty-four billion, five hundred twelve million, two hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1069 1250 2000 2138 2500 4276 5000 5345 8552 10000 10690 12583 17104 21380 25166 26725 42760 50332 53450 62915 85520 100664 106900 125830 133625 201328 213800 251660 267250 314575 427600 503320 534500 629150 668125 1006640 1069000 1258300 1336250 1572875 2138000 2516600 2672500 3145750 5033200 5345000 6291500 7864375 10690000 12583000 13451227 15728750 25166000 26902454 31457500 53804908 62915000 67256135 107609816 125830000 134512270 215219632 269024540 336280675 538049080 672561350 1076098160 1345122700 1681403375 2690245400 3362806750 5380490800 6725613500 8407016875 13451227000 16814033750 26902454000 33628067500 67256135000 134512270000