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134651538267090 = 235131034497465573
BaseRepresentation
bin11110100111011100000001…
…000110110101101111010010
3122122202120011012220021120020
4132213130001012311233102
5120122112322244021330
61154214021314124310
740235152433463225
oct3647340106655722
9578676135807506
10134651538267090
11399a443aaa2259
1213128453880696
135a1977c67ac40
1425372524d75bc
1510878ded1e210
hex7a77011b5bd2

134651538267090 has 128 divisors (see below), whose sum is σ = 352183974105600. Its totient is φ = 32750090698752.

The previous prime is 134651538267089. The next prime is 134651538267119. The reversal of 134651538267090 is 90762835156431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14303544 + ... + 21769116.

It is an arithmetic number, because the mean of its divisors is an integer number (2751437297700).

It is a 3-persistent number, because k⋅134651538267090 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2134651538267090 is an apocalyptic number.

134651538267090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134651538267090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176091987052800).

134651538267090 is an abundant number, since it is smaller than the sum of its proper divisors (217532435838510).

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

134651538267090 is a wasteful number, since it uses less digits than its factorization.

134651538267090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466148.

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 134651538267090 in words is "one hundred thirty-four trillion, six hundred fifty-one billion, five hundred thirty-eight million, two hundred sixty-seven thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 449 515 618 898 1030 1339 1347 1545 2245 2678 2694 3090 4017 4490 5837 6695 6735 8034 11674 13390 13470 17511 20085 29185 35022 40170 46247 58370 87555 92494 138741 175110 231235 277482 462470 601211 693705 1202422 1387410 1803633 3006055 3607266 6012110 7465573 9018165 14931146 18036330 22396719 37327865 44793438 74655730 97052449 111983595 194104898 223967190 291157347 485262245 582314694 768954019 970524490 1455786735 1537908038 2306862057 2911573470 3352042277 3844770095 4613724114 6704084554 7689540190 9996402247 10056126831 11534310285 16760211385 19992804494 20112253662 23068620570 29989206741 33520422770 43576549601 49982011235 50280634155 59978413482 87153099202 99964022470 100561268310 130729648803 149946033705 217882748005 261459297606 299892067410 345260354531 435765496010 653648244015 690520709062 1035781063593 1307296488030 1726301772655 2071562127186 3452603545310 4488384608903 5178905317965 8976769217806 10357810635930 13465153826709 22441923044515 26930307653418 44883846089030 67325769133545 134651538267090