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135114685140 = 223543360714519
BaseRepresentation
bin111110111010101110…
…1100111101011010100
3110220202101010011121210
41331311131213223110
54203203324411030
6142023144341420
712522160605561
oct1756535475324
9426671104553
10135114685140
1152335798846
1222229774870
13c983719146
14677a8a1868
1537abdc0bb0
hex1f75767ad4

135114685140 has 96 divisors (see below), whose sum is σ = 387253278720. Its totient is φ = 35180482176.

The previous prime is 135114685129. The next prime is 135114685163. The reversal of 135114685140 is 41586411531.

It is a congruent number.

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, 9298801 + ... + 9313319.

It is an arithmetic number, because the mean of its divisors is an integer number (4033888320).

Almost surely, 2135114685140 is an apocalyptic number.

135114685140 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 135114685140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193626639360).

135114685140 is an abundant number, since it is smaller than the sum of its proper divisors (252138593580).

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

135114685140 is a wasteful number, since it uses less digits than its factorization.

135114685140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18181 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 135114685140 in words is "one hundred thirty-five billion, one hundred fourteen million, six hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 3607 7214 10821 14428 14519 18035 21642 29038 36070 43284 43557 54105 58076 72140 72595 87114 108210 145190 155101 174228 216420 217785 290380 310202 435570 465303 620404 624317 775505 871140 930606 1248634 1551010 1861212 1872951 2326515 2497268 3102020 3121585 3745902 4653030 6243170 7491804 9306060 9364755 12486340 18729510 37459020 52370033 104740066 157110099 209480132 261850165 314220198 523700330 628440396 785550495 1047400660 1571100990 2251911419 3142201980 4503822838 6755734257 9007645676 11259557095 13511468514 22519114190 27022937028 33778671285 45038228380 67557342570 135114685140