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134121312 = 25331311941
BaseRepresentation
bin1111111111010…
…00011101100000
3100100101001212000
413333220131200
5233313340222
621150404000
73216004143
oct777503540
9310331760
10134121312
1169787366
1238b00600
1321a2c630
1413b5405a
15bb949ac
hex7fe8760

134121312 has 96 divisors (see below), whose sum is σ = 421313760. Its totient is φ = 41264640.

The previous prime is 134121311. The next prime is 134121329. The reversal of 134121312 is 213121431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134121311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 17202.

It is an arithmetic number, because the mean of its divisors is an integer number (4388685).

Almost surely, 2134121312 is an apocalyptic number.

134121312 is a gapful number since it is divisible by the number (12) 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 134121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656880).

134121312 is an abundant number, since it is smaller than the sum of its proper divisors (287192448).

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

134121312 is a wasteful number, since it uses less digits than its factorization.

134121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11959 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 134121312 is about 11581.0755977154. The cubic root of 134121312 is about 511.8773713478.

Adding to 134121312 its reverse (213121431), we get a palindrome (347242743).

The spelling of 134121312 in words is "one hundred thirty-four million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 11941 23882 35823 47764 71646 95528 107469 143292 155233 191056 214938 286584 310466 322407 382112 429876 465699 573168 620932 644814 859752 931398 1146336 1241864 1289628 1397097 1719504 1862796 2483728 2579256 2794194 3439008 3725592 4191291 4967456 5158512 5588388 7451184 8382582 10317024 11176776 14902368 16765164 22353552 33530328 44707104 67060656 134121312