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134733120 = 2635293479
BaseRepresentation
bin10000000011111…
…01110101000000
3100101112011002120
420001331311000
5233442424440
621211444240
73224132634
oct1001756500
9311464076
10134733120
116a064a95
1239156680
1321bb4c52
1413c72dc4
15bc65dd0
hex807dd40

134733120 has 112 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 35731456.

The previous prime is 134733113. The next prime is 134733133. The reversal of 134733120 is 21337431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281041 + ... + 281519.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2134733120 is an apocalyptic number.

134733120 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 134733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

134733120 is an abundant number, since it is smaller than the sum of its proper divisors (295400640).

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

134733120 is a wasteful number, since it uses less digits than its factorization.

134733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 134733120 is about 11607.4596704016. The cubic root of 134733120 is about 512.6545177551.

The spelling of 134733120 in words is "one hundred thirty-four million, seven hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 293 320 479 480 586 879 958 960 1172 1437 1465 1758 1916 2344 2395 2874 2930 3516 3832 4395 4688 4790 5748 5860 7032 7185 7664 8790 9376 9580 11496 11720 14064 14370 15328 17580 18752 19160 22992 23440 28128 28740 30656 35160 38320 45984 46880 56256 57480 70320 76640 91968 93760 114960 140347 140640 153280 229920 280694 281280 421041 459840 561388 701735 842082 1122776 1403470 1684164 2105205 2245552 2806940 3368328 4210410 4491104 5613880 6736656 8420820 8982208 11227760 13473312 16841640 22455520 26946624 33683280 44911040 67366560 134733120