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134947512300 = 223526127127211
BaseRepresentation
bin111110110101101111…
…1111001111111101100
3110220022201112220121010
41331223133321333230
54202333030343200
6141554413305220
712515060633316
oct1755337717754
9426281486533
10134947512300
115225a397377
12221a1795210
13c957bb68c3
1467625c67b6
15379c39d150
hex1f6b7f9fec

134947512300 has 144 divisors (see below), whose sum is σ = 398327949824. Its totient is φ = 35264160000.

The previous prime is 134947512263. The next prime is 134947512353. The reversal of 134947512300 is 3215749431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4945695 + ... + 4972905.

Almost surely, 2134947512300 is an apocalyptic number.

134947512300 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 134947512300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199163974912).

134947512300 is an abundant number, since it is smaller than the sum of its proper divisors (263380437524).

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

134947512300 is a wasteful number, since it uses less digits than its factorization.

134947512300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27560 (or 27553 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 134947512300 in words is "one hundred thirty-four billion, nine hundred forty-seven million, five hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 271 300 305 366 542 610 732 813 915 1084 1220 1355 1525 1626 1830 2710 3050 3252 3660 4065 4575 5420 6100 6775 8130 9150 13550 16260 16531 18300 20325 27100 27211 33062 40650 49593 54422 66124 81300 81633 82655 99186 108844 136055 163266 165310 198372 247965 272110 326532 330620 408165 413275 495930 544220 680275 816330 826550 991860 1239825 1360550 1632660 1653100 1659871 2040825 2479650 2721100 3319742 4081650 4959300 4979613 6639484 7374181 8163300 8299355 9959226 14748362 16598710 19918452 22122543 24898065 29496724 33197420 36870905 41496775 44245086 49796130 73741810 82993550 88490172 99592260 110612715 124490325 147483620 165987100 184354525 221225430 248980650 368709050 442450860 449825041 497961300 553063575 737418100 899650082 1106127150 1349475123 1799300164 2212254300 2249125205 2698950246 4498250410 5397900492 6747375615 8996500820 11245626025 13494751230 22491252050 26989502460 33736878075 44982504100 67473756150 134947512300