Search a number
-
+
134120000 = 26547479
BaseRepresentation
bin1111111111010…
…00001001000000
3100100101000001102
413333220021000
5233313320000
621150353532
73216000260
oct777501100
9310330042
10134120000
1169786383
1238abb8a8
1321a2bb61
1413b537a0
15bb943d5
hex7fe8240

134120000 has 140 divisors (see below), whose sum is σ = 380878080. Its totient is φ = 45888000.

The previous prime is 134119991. The next prime is 134120017. The reversal of 134120000 is 21431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (140).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279761 + ... + 280239.

Almost surely, 2134120000 is an apocalyptic number.

134120000 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 134120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439040).

134120000 is an abundant number, since it is smaller than the sum of its proper divisors (246758080).

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

134120000 is an frugal number, since it uses more digits than its factorization.

134120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 134120000 is about 11581.0189534427. The cubic root of 134120000 is about 511.8757022487.

Adding to 134120000 its reverse (21431), we get a palindrome (134141431).

The spelling of 134120000 in words is "one hundred thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 479 500 560 625 700 800 875 958 1000 1120 1250 1400 1600 1750 1916 2000 2240 2395 2500 2800 3353 3500 3832 4000 4375 4790 5000 5600 6706 7000 7664 8000 8750 9580 10000 11200 11975 13412 14000 15328 16765 17500 19160 20000 23950 26824 28000 30656 33530 35000 38320 40000 47900 53648 56000 59875 67060 70000 76640 83825 95800 107296 119750 134120 140000 153280 167650 191600 214592 239500 268240 280000 299375 335300 383200 419125 479000 536480 598750 670600 766400 838250 958000 1072960 1197500 1341200 1676500 1916000 2095625 2395000 2682400 3353000 3832000 4191250 4790000 5364800 6706000 8382500 9580000 13412000 16765000 19160000 26824000 33530000 67060000 134120000