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134276736 = 2731183383
BaseRepresentation
bin10000000000011…
…10011010000000
3100100122222001110
420000032122000
5233333323421
621154003320
73220222236
oct1000163200
9310588043
10134276736
1169883110
1238b76540
1321a852b9
1413b94956
15bbc5a76
hex800e680

134276736 has 128 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 40094720.

The previous prime is 134276729. The next prime is 134276771. The reversal of 134276736 is 637672431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 134276694 and 134276703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350401 + ... + 350783.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2134276736 is an apocalyptic number.

134276736 is a gapful number since it is divisible by the number (16) 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 134276736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

134276736 is an abundant number, since it is smaller than the sum of its proper divisors (260536704).

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

134276736 is a wasteful number, since it uses less digits than its factorization.

134276736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 134276736 is about 11587.7839123795. The cubic root of 134276736 is about 512.0750215589.

The spelling of 134276736 in words is "one hundred thirty-four million, two hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 264 332 352 383 384 498 528 664 704 766 913 996 1056 1149 1328 1408 1532 1826 1992 2112 2298 2656 2739 3064 3652 3984 4213 4224 4596 5312 5478 6128 7304 7968 8426 9192 10624 10956 12256 12639 14608 15936 16852 18384 21912 24512 25278 29216 31789 31872 33704 36768 43824 49024 50556 58432 63578 67408 73536 87648 95367 101112 116864 127156 134816 147072 175296 190734 202224 254312 269632 349679 350592 381468 404448 508624 539264 699358 762936 808896 1017248 1049037 1398716 1525872 1617792 2034496 2098074 2797432 3051744 4068992 4196148 5594864 6103488 8392296 11189728 12206976 16784592 22379456 33569184 44758912 67138368 134276736