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134421200 = 24521923769
BaseRepresentation
bin10000000001100…
…01101011010000
3100100221022012222
420000301223100
5233402434300
621201040212
73221363354
oct1000615320
9310838188
10134421200
1169971701
1239026068
1321b05c94
1413bd1464
15bc03785
hex8031ad0

134421200 has 120 divisors (see below), whose sum is σ = 355185600. Its totient is φ = 48660480.

The previous prime is 134421187. The next prime is 134421271. The reversal of 134421200 is 2124431.

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, 174416 + ... + 175184.

It is an arithmetic number, because the mean of its divisors is an integer number (2959880).

Almost surely, 2134421200 is an apocalyptic number.

134421200 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 134421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

134421200 is an abundant number, since it is smaller than the sum of its proper divisors (220764400).

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

134421200 is a wasteful number, since it uses less digits than its factorization.

134421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 134421200 is about 11594.0156977641. The cubic root of 134421200 is about 512.2585973948.

Adding to 134421200 its reverse (2124431), we get a palindrome (136545631).

The spelling of 134421200 in words is "one hundred thirty-four million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 38 40 46 50 76 80 92 95 100 115 152 184 190 200 230 304 368 380 400 437 460 475 575 760 769 874 920 950 1150 1520 1538 1748 1840 1900 2185 2300 3076 3496 3800 3845 4370 4600 6152 6992 7600 7690 8740 9200 10925 12304 14611 15380 17480 17687 19225 21850 29222 30760 34960 35374 38450 43700 58444 61520 70748 73055 76900 87400 88435 116888 141496 146110 153800 174800 176870 233776 282992 292220 307600 336053 353740 365275 442175 584440 672106 707480 730550 884350 1168880 1344212 1414960 1461100 1680265 1768700 2688424 2922200 3360530 3537400 5376848 5844400 6721060 7074800 8401325 13442120 16802650 26884240 33605300 67210600 134421200