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134650580736 = 283746753633
BaseRepresentation
bin111110101100111001…
…1001100111100000000
3110212120000211020001210
41331121303030330000
54201231022040421
6141505125130120
712504524023530
oct1753163147400
9425500736053
10134650580736
1152117819291
122211a259940
13c90b521659
146734db14c0
153781298576
hex1f59cccf00

134650580736 has 144 divisors (see below), whose sum is σ = 410446842624. Its totient is φ = 38388498432.

The previous prime is 134650580723. The next prime is 134650580741. The reversal of 134650580736 is 637085056431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483776 + ... + 2537408.

It is an arithmetic number, because the mean of its divisors is an integer number (2850325296).

Almost surely, 2134650580736 is an apocalyptic number.

134650580736 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 134650580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205223421312).

134650580736 is an abundant number, since it is smaller than the sum of its proper divisors (275796261888).

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

134650580736 is an equidigital number, since it uses as much as digits as its factorization.

134650580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54126 (or 54112 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

It can be divided in two parts, 1346505 and 80736, that added together give a palindrome (1427241).

The spelling of 134650580736 in words is "one hundred thirty-four billion, six hundred fifty million, five hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 467 672 768 896 934 1344 1401 1792 1868 2688 2802 3269 3736 5376 5604 6538 7472 9807 11208 13076 14944 19614 22416 26152 29888 39228 44832 52304 53633 59776 78456 89664 104608 107266 119552 156912 160899 179328 209216 214532 313824 321798 358656 375431 418432 429064 627648 643596 750862 836864 858128 1126293 1255296 1287192 1501724 1716256 2252586 2510592 2574384 3003448 3432512 4505172 5148768 6006896 6865024 9010344 10297536 12013792 13730048 18020688 20595072 24027584 25046611 36041376 41190144 48055168 50093222 72082752 75139833 96110336 100186444 144165504 150279666 175326277 200372888 288331008 300559332 350652554 400745776 525978831 601118664 701305108 801491552 1051957662 1202237328 1402610216 1602983104 2103915324 2404474656 2805220432 3205966208 4207830648 4808949312 5610440864 6411932416 8415661296 9617898624 11220881728 16831322592 19235797248 22441763456 33662645184 44883526912 67325290368 134650580736