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134567568 = 243683139
BaseRepresentation
bin10000000010101…
…01011010010000
3100101012202000000
420001111122100
5233422130233
621204130000
73222543162
oct1001253220
9311182000
10134567568
1169a61673
1239096900
1321b577a5
1413c2c932
15bc31d13
hex8055690

134567568 has 140 divisors (see below), whose sum is σ = 398464080. Its totient is φ = 43996608.

The previous prime is 134567561. The next prime is 134567579. The reversal of 134567568 is 865765431.

134567568 is a `hidden beast` number, since 1 + 34 + 56 + 7 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (134567561) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 968043 + ... + 968181.

It is an arithmetic number, because the mean of its divisors is an integer number (2846172).

Almost surely, 2134567568 is an apocalyptic number.

134567568 is a gapful number since it is divisible by the number (18) 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 134567568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199232040).

134567568 is an abundant number, since it is smaller than the sum of its proper divisors (263896512).

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

134567568 is an equidigital number, since it uses as much as digits as its factorization.

134567568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 134567568 is about 11600.3262023100. The cubic root of 134567568 is about 512.4444586251. Note that the first 4 decimals are identical.

The spelling of 134567568 in words is "one hundred thirty-four million, five hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 139 144 162 166 216 243 249 278 324 332 417 432 486 498 556 648 664 729 747 834 972 996 1112 1251 1296 1328 1458 1494 1668 1944 1992 2224 2241 2502 2916 2988 3336 3753 3888 3984 4482 5004 5832 5976 6672 6723 7506 8964 10008 11259 11537 11664 11952 13446 15012 17928 20016 20169 22518 23074 26892 30024 33777 34611 35856 40338 45036 46148 53784 60048 60507 67554 69222 80676 90072 92296 101331 103833 107568 121014 135108 138444 161352 180144 184592 202662 207666 242028 270216 276888 311499 322704 405324 415332 484056 540432 553776 622998 810648 830664 934497 968112 1245996 1621296 1661328 1868994 2491992 2803491 3737988 4983984 5606982 7475976 8410473 11213964 14951952 16820946 22427928 33641892 44855856 67283784 134567568