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135728250 = 23537103251
BaseRepresentation
bin10000001011100…
…00110001111010
3100110101201011020
420011300301322
5234221301000
621245043310
73235446120
oct1005606172
9313351136
10135728250
116a684709
1239556536
1322172b98
1414051910
15bdb0ba0
hex8170c7a

135728250 has 128 divisors (see below), whose sum is σ = 392491008. Its totient is φ = 30600000.

The previous prime is 135728249. The next prime is 135728269. The reversal of 135728250 is 52827531.

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, 540625 + ... + 540875.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2135728250 is an apocalyptic number.

135728250 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 135728250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245504).

135728250 is an abundant number, since it is smaller than the sum of its proper divisors (256762758).

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

135728250 is a wasteful number, since it uses less digits than its factorization.

135728250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 135728250 is about 11650.2467785022. The cubic root of 135728250 is about 513.9135673023.

The spelling of 135728250 in words is "one hundred thirty-five million, seven hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 103 105 125 150 175 206 210 250 251 309 350 375 502 515 525 618 721 750 753 875 1030 1050 1255 1442 1506 1545 1750 1757 2163 2510 2575 2625 3090 3514 3605 3765 4326 5150 5250 5271 6275 7210 7530 7725 8785 10542 10815 12550 12875 15450 17570 18025 18825 21630 25750 25853 26355 31375 36050 37650 38625 43925 51706 52710 54075 62750 77250 77559 87850 90125 94125 108150 129265 131775 155118 180250 180971 188250 219625 258530 263550 270375 361942 387795 439250 540750 542913 646325 658875 775590 904855 1085826 1292650 1317750 1809710 1938975 2714565 3231625 3877950 4524275 5429130 6463250 9048550 9694875 13572825 19389750 22621375 27145650 45242750 67864125 135728250