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134123400 = 233252269277
BaseRepresentation
bin1111111111010…
…00111110001000
3100100101011201100
413333220332020
5233313422100
621150421400
73216013215
oct777507610
9310334640
10134123400
1169788994
1238b01860
1321a30578
1413b54b0c
15bb95400
hex7fe8f88

134123400 has 144 divisors (see below), whose sum is σ = 453737700. Its totient is φ = 35504640.

The previous prime is 134123399. The next prime is 134123449. The reversal of 134123400 is 4321431.

It can be written as a sum of positive squares in 6 ways, for example, as 5391684 + 128731716 = 2322^2 + 11346^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484062 + ... + 484338.

Almost surely, 2134123400 is an apocalyptic number.

134123400 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 134123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226868850).

134123400 is an abundant number, since it is smaller than the sum of its proper divisors (319614300).

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

134123400 is a wasteful number, since it uses less digits than its factorization.

134123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134123400 is about 11581.1657444318. The cubic root of 134123400 is about 511.8800276356.

Adding to 134123400 its reverse (4321431), we get a palindrome (138444831).

The spelling of 134123400 in words is "one hundred thirty-four million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 269 277 300 360 450 538 554 600 807 831 900 1076 1108 1345 1385 1614 1662 1800 2152 2216 2421 2493 2690 2770 3228 3324 4035 4155 4842 4986 5380 5540 6456 6648 6725 6925 8070 8310 9684 9972 10760 11080 12105 12465 13450 13850 16140 16620 19368 19944 20175 20775 24210 24930 26900 27700 32280 33240 40350 41550 48420 49860 53800 55400 60525 62325 74513 80700 83100 96840 99720 121050 124650 149026 161400 166200 223539 242100 249300 298052 372565 447078 484200 498600 596104 670617 745130 894156 1117695 1341234 1490260 1788312 1862825 2235390 2682468 2980520 3353085 3725650 4470780 5364936 5588475 6706170 7451300 8941560 11176950 13412340 14902600 16765425 22353900 26824680 33530850 44707800 67061700 134123400