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132134340423340 = 225371095953275183
BaseRepresentation
bin11110000010110011101100…
…011011000110111010101100
3122022211220211101001201211201
4132002303230123012322230
5114304342112122021330
61145005402240255244
736555251064030403
oct3602635433067254
9568756741051751
10132134340423340
113911394a485472
12129a062b311524
1358962a3cc49c8
14248b49c76463a
1510421b64a5eca
hex782cec6c6eac

132134340423340 has 96 divisors (see below), whose sum is σ = 287645498300160. Its totient is φ = 50944721043456.

The previous prime is 132134340423329. The next prime is 132134340423353. The reversal of 132134340423340 is 43324043431231.

It is a super-2 number, since 2×1321343404233402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 132134340423340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480031389 + ... + 480306571.

It is an arithmetic number, because the mean of its divisors is an integer number (2996307273960).

Almost surely, 2132134340423340 is an apocalyptic number.

132134340423340 is a gapful number since it is divisible by the number (10) 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 132134340423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143822749150080).

132134340423340 is an abundant number, since it is smaller than the sum of its proper divisors (155511157876820).

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

132134340423340 is a wasteful number, since it uses less digits than its factorization.

132134340423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281291 (or 281289 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 132134340423340 its reverse (43324043431231), we get a palindrome (175458383854571).

The spelling of 132134340423340 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, three hundred forty million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 740 1090 2180 4033 5953 8066 11906 16132 20165 23812 29765 40330 59530 80660 119060 220261 275183 440522 550366 648877 881044 1100732 1101305 1297754 1375915 2202610 2595508 2751830 3244385 4405220 5503660 6488770 10181771 12977540 20363542 24008449 29994947 40727084 48016898 50908855 59989894 96033796 101817710 119979788 120042245 149974735 203635420 240084490 299949470 480168980 599898940 1109813039 1638164399 2219626078 3276328798 4439252156 5549065195 6552657596 8190821995 11098130390 16381643990 22196260780 32763287980 60612082763 121224165526 178559919491 242448331052 303060413815 357119838982 606120827630 714239677964 892799597455 1212241655260 1785599194910 3571198389820 6606717021167 13213434042334 26426868084668 33033585105835 66067170211670 132134340423340