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134029800 = 233252193919
BaseRepresentation
bin1111111110100…
…10000111101000
3100100012102022200
413333102013220
5233302423200
621144420200
73215143302
oct777220750
9310172280
10134029800
1169724633
1238a77660
13219c9a98
1413b2c972
15bb77800
hex7fd21e8

134029800 has 144 divisors (see below), whose sum is σ = 473928000. Its totient is φ = 33851520.

The previous prime is 134029789. The next prime is 134029813. The reversal of 134029800 is 8920431.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32241 + ... + 36159.

Almost surely, 2134029800 is an apocalyptic number.

134029800 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 134029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964000).

134029800 is an abundant number, since it is smaller than the sum of its proper divisors (339898200).

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

134029800 is a wasteful number, since it uses less digits than its factorization.

134029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134029800 is about 11577.1239951898. The cubic root of 134029800 is about 511.7609255742.

The spelling of 134029800 in words is "one hundred thirty-four million, twenty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 3919 4275 5700 6840 7838 8550 11400 11757 15676 17100 19595 23514 31352 34200 35271 39190 47028 58785 70542 74461 78380 94056 97975 117570 141084 148922 156760 176355 195950 223383 235140 282168 293925 297844 352710 372305 391900 446766 470280 587850 595688 670149 705420 744610 783800 881775 893532 1116915 1175700 1340298 1410840 1489220 1763550 1787064 1861525 2233830 2351400 2680596 2978440 3350745 3527100 3723050 4467660 5361192 5584575 6701490 7054200 7446100 8935320 11169150 13402980 14892200 16753725 22338300 26805960 33507450 44676600 67014900 134029800