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136205213200 = 24527387712547
BaseRepresentation
bin111111011011001110…
…1101001111000010000
3111000120101010201212221
41332312131221320100
54212422013310300
6142323302230424
712561202131640
oct1766635517020
9430511121787
10136205213200
1152845323701
1222492a25414
13cac8631714
146841656520
1538229d531a
hex1fb6769e10

136205213200 has 120 divisors (see below), whose sum is σ = 374106875072. Its totient is φ = 46683164160.

The previous prime is 136205213159. The next prime is 136205213203. The reversal of 136205213200 is 2312502631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (136205213203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10849327 + ... + 10861873.

Almost surely, 2136205213200 is an apocalyptic number.

136205213200 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 136205213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187053437536).

136205213200 is an abundant number, since it is smaller than the sum of its proper divisors (237901661872).

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

136205213200 is a wasteful number, since it uses less digits than its factorization.

136205213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16449 (or 16438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 136205213200 its reverse (2312502631), we get a palindrome (138517715831).

The spelling of 136205213200 in words is "one hundred thirty-six billion, two hundred five million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 3877 7754 12547 15508 19385 25094 27139 31016 38770 50188 54278 62032 62735 77540 87829 96925 100376 108556 125470 135695 155080 175658 193850 200752 217112 250940 271390 310160 313675 351316 387700 434224 439145 501880 542780 627350 678475 702632 775400 878290 1003760 1085560 1254700 1356950 1405264 1550800 1756580 2171120 2195725 2509400 2713900 3513160 4391450 5018800 5427800 7026320 8782900 10855600 17565800 35131600 48644719 97289438 194578876 243223595 340513033 389157752 486447190 681026066 778315504 972894380 1216117975 1362052132 1702565165 1945788760 2432235950 2724104264 3405130330 3891577520 4864471900 5448208528 6810260660 8512825825 9728943800 13620521320 17025651650 19457887600 27241042640 34051303300 68102606600 136205213200