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134321200 = 24521321987
BaseRepresentation
bin10000000000110…
…01010000110000
3100100202020001021
420000121100300
5233341234300
621154545224
73220465666
oct1000312060
9310666037
10134321200
1169903562
1238b98214
1321a9c600
1413ba6c36
15bbd3d1a
hex8019430

134321200 has 90 divisors (see below), whose sum is σ = 349615644. Its totient is φ = 49570560.

The previous prime is 134321197. The next prime is 134321221. The reversal of 134321200 is 2123431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66607 + ... + 68593.

Almost surely, 2134321200 is an apocalyptic number.

134321200 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 134321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174807822).

134321200 is an abundant number, since it is smaller than the sum of its proper divisors (215294444).

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

134321200 is a wasteful number, since it uses less digits than its factorization.

134321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 134321200 is about 11589.7023257718. The cubic root of 134321200 is about 512.1315376557.

Adding to 134321200 its reverse (2123431), we get a palindrome (136444631).

The spelling of 134321200 in words is "one hundred thirty-four million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 1987 2600 2704 3380 3974 4225 5200 6760 7948 8450 9935 13520 15896 16900 19870 25831 31792 33800 39740 49675 51662 67600 79480 99350 103324 129155 158960 198700 206648 258310 335803 397400 413296 516620 645775 671606 794800 1033240 1291550 1343212 1679015 2066480 2583100 2686424 3358030 5166200 5372848 6716060 8395075 10332400 13432120 16790150 26864240 33580300 67160600 134321200