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134545633400 = 235229191121453
BaseRepresentation
bin111110101001110001…
…0110111000001111000
3110212021201100100101102
41331103202313001320
54201022140232100
6141450455510532
712502111004603
oct1752342670170
9425251310342
10134545633400
1152073558852
12220ab088448
13c8c2868039
14672509333a
153776e67cd5
hex1f538b7078

134545633400 has 96 divisors (see below), whose sum is σ = 325302393600. Its totient is φ = 51689971200.

The previous prime is 134545633373. The next prime is 134545633423. The reversal of 134545633400 is 4336545431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1047074 + ... + 1168526.

It is an arithmetic number, because the mean of its divisors is an integer number (3388566600).

Almost surely, 2134545633400 is an apocalyptic number.

134545633400 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 134545633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162651196800).

134545633400 is an abundant number, since it is smaller than the sum of its proper divisors (190756760200).

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

134545633400 is a wasteful number, since it uses less digits than its factorization.

134545633400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121689 (or 121680 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 134545633400 in words is "one hundred thirty-four billion, five hundred forty-five million, six hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 191 200 232 290 382 580 725 764 955 1160 1450 1528 1910 2900 3820 4775 5539 5800 7640 9550 11078 19100 22156 27695 38200 44312 55390 110780 121453 138475 221560 242906 276950 485812 553900 607265 971624 1107800 1214530 2429060 3036325 3522137 4858120 6072650 7044274 12145300 14088548 17610685 23197523 24290600 28177096 35221370 46395046 70442740 88053425 92790092 115987615 140885480 176106850 185580184 231975230 352213700 463950460 579938075 672728167 704427400 927900920 1159876150 1345456334 2319752300 2690912668 3363640835 4639504600 5381825336 6727281670 13454563340 16818204175 26909126680 33636408350 67272816700 134545633400