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134759328 = 25311373449
BaseRepresentation
bin10000000100001…
…00001110100000
3100101120111001020
420002010032200
5233444244303
621212205440
73224302224
oct1002041640
9311514036
10134759328
116a082750
1239169880
1321bc3b62
1413c7c784
15bc6da53
hex80843a0

134759328 has 96 divisors (see below), whose sum is σ = 396446400. Its totient is φ = 39720960.

The previous prime is 134759321. The next prime is 134759389. The reversal of 134759328 is 823957431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134759328.

It is not an unprimeable number, because it can be changed into a prime (134759321) by changing a digit.

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, 37348 + ... + 40796.

It is an arithmetic number, because the mean of its divisors is an integer number (4129650).

Almost surely, 2134759328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134759328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198223200).

134759328 is an abundant number, since it is smaller than the sum of its proper divisors (261687072).

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

134759328 is a wasteful number, since it uses less digits than its factorization.

134759328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 134759328 is about 11608.5885446940. The cubic root of 134759328 is about 512.6877557557.

The spelling of 134759328 in words is "one hundred thirty-four million, seven hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3449 3552 4884 6512 6898 9768 10347 13024 13796 19536 20694 27592 37939 39072 41388 55184 75878 82776 110368 113817 127613 151756 165552 227634 255226 303512 331104 382839 455268 510452 607024 765678 910536 1020904 1214048 1403743 1531356 1821072 2041808 2807486 3062712 3642144 4083616 4211229 5614972 6125424 8422458 11229944 12250848 16844916 22459888 33689832 44919776 67379664 134759328