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134465100 = 223527115821
BaseRepresentation
bin10000000001111…
…00011001001100
3100101000112102220
420000330121030
5233410340400
621202015340
73221635350
oct1000743114
9311015386
10134465100
11699a1690
1239047550
1321b1cc63
1413c03460
15bc117a0
hex803c64c

134465100 has 144 divisors (see below), whose sum is σ = 485135616. Its totient is φ = 27936000.

The previous prime is 134465077. The next prime is 134465101. The reversal of 134465100 is 1564431.

It is not an unprimeable number, because it can be changed into a prime (134465101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20190 + ... + 26010.

Almost surely, 2134465100 is an apocalyptic number.

134465100 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 134465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242567808).

134465100 is an abundant number, since it is smaller than the sum of its proper divisors (350670516).

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

134465100 is a wasteful number, since it uses less digits than its factorization.

134465100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 134465100 is about 11595.9087612830. The cubic root of 134465100 is about 512.3143567164.

The spelling of 134465100 in words is "one hundred thirty-four million, four hundred sixty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 5821 7700 11550 11642 17463 23100 23284 29105 34926 40747 58210 64031 69852 81494 87315 116420 122241 128062 145525 162988 174630 192093 203735 244482 256124 291050 320155 349260 384186 407470 436575 448217 488964 582100 611205 640310 768372 814940 873150 896434 960465 1018675 1222410 1280620 1344651 1600775 1746300 1792868 1920930 2037350 2241085 2444820 2689302 3056025 3201550 3841860 4074700 4482170 4802325 5378604 6112050 6403100 6723255 8964340 9604650 11205425 12224100 13446510 19209300 22410850 26893020 33616275 44821700 67232550 134465100