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134381100 = 22352789719
BaseRepresentation
bin10000000001001…
…11111000101100
3100100212021012210
420000213320230
5233400143400
621200130420
73221135430
oct1000477054
9310767183
10134381100
1169944567
1239006a10
1321ac0959
1413bc09c0
15bbe6950
hex8027e2c

134381100 has 144 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 30328320.

The previous prime is 134381021. The next prime is 134381153. The reversal of 134381100 is 1183431.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 186541 + ... + 187259.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2134381100 is an apocalyptic number.

134381100 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 134381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

134381100 is an abundant number, since it is smaller than the sum of its proper divisors (315590100).

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

134381100 is a wasteful number, since it uses less digits than its factorization.

134381100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 134381100 is about 11592.2862283503. The cubic root of 134381100 is about 512.2076540101.

The spelling of 134381100 in words is "one hundred thirty-four million, three hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 89 100 105 140 150 175 178 210 267 300 350 356 420 445 525 534 623 700 719 890 1050 1068 1246 1335 1438 1780 1869 2100 2157 2225 2492 2670 2876 3115 3595 3738 4314 4450 5033 5340 6230 6675 7190 7476 8628 8900 9345 10066 10785 12460 13350 14380 15099 15575 17975 18690 20132 21570 25165 26700 30198 31150 35950 37380 43140 46725 50330 53925 60396 62300 63991 71900 75495 93450 100660 107850 125825 127982 150990 186900 191973 215700 251650 255964 301980 319955 377475 383946 447937 503300 639910 754950 767892 895874 959865 1279820 1343811 1509900 1599775 1791748 1919730 2239685 2687622 3199550 3839460 4479370 4799325 5375244 6399100 6719055 8958740 9598650 11198425 13438110 19197300 22396850 26876220 33595275 44793700 67190550 134381100