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135052184300 = 2252111923280949
BaseRepresentation
bin111110111000110111…
…1001100101011101100
3110220121000111210120212
41331301233030223230
54203041324344200
6142013033001552
712520501424435
oct1756157145354
9426530453525
10135052184300
1152303489a60
12222108532b8
13c9737a4ab7
14677247248c
1537a6677035
hex1f71bccaec

135052184300 has 144 divisors (see below), whose sum is σ = 351165024000. Its totient is φ = 44502163200.

The previous prime is 135052184287. The next prime is 135052184303. The reversal of 135052184300 is 3481250531.

It is not an unprimeable number, because it can be changed into a prime (135052184303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340226 + ... + 621174.

It is an arithmetic number, because the mean of its divisors is an integer number (2438646000).

Almost surely, 2135052184300 is an apocalyptic number.

135052184300 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 135052184300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175582512000).

135052184300 is an abundant number, since it is smaller than the sum of its proper divisors (216112839700).

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

135052184300 is a wasteful number, since it uses less digits than its factorization.

135052184300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281016 (or 281009 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 135052184300 in words is "one hundred thirty-five billion, fifty-two million, one hundred eighty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 23 25 38 44 46 50 55 76 92 95 100 110 115 190 209 220 230 253 275 380 418 437 460 475 506 550 575 836 874 950 1012 1045 1100 1150 1265 1748 1900 2090 2185 2300 2530 4180 4370 4807 5060 5225 6325 8740 9614 10450 10925 12650 19228 20900 21850 24035 25300 43700 48070 96140 120175 240350 280949 480700 561898 1123796 1404745 2809490 3090439 5338031 5618980 6180878 6461827 7023725 10676062 12361756 12923654 14047450 15452195 21352124 25847308 26690155 28094900 30904390 32309135 53380310 58718341 61808780 64618270 71080097 77260975 106760620 117436682 122774713 129236540 133450775 142160194 154521950 161545675 234873364 245549426 266901550 284320388 293591705 309043900 323091350 355400485 491098852 533803100 587183410 613873565 646182700 710800970 1174366820 1227747130 1350521843 1421601940 1467958525 1777002425 2455494260 2701043686 2935917050 3069367825 3554004850 5402087372 5871834100 6138735650 6752609215 7108009700 12277471300 13505218430 27010436860 33763046075 67526092150 135052184300