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134542100 = 2252711101173
BaseRepresentation
bin10000000010011…
…11001100010100
3100101011110001202
420001033030110
5233420321400
621203412032
73222406010
oct1001171424
9311143052
10134542100
1169a44520
1239084018
1321b49014
1413c23540
15bc294d5
hex804f314

134542100 has 144 divisors (see below), whose sum is σ = 369726336. Its totient is φ = 41280000.

The previous prime is 134542081. The next prime is 134542103. The reversal of 134542100 is 1245431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134542103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777614 + ... + 777786.

It is an arithmetic number, because the mean of its divisors is an integer number (2567544).

Almost surely, 2134542100 is an apocalyptic number.

134542100 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 134542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184863168).

134542100 is an abundant number, since it is smaller than the sum of its proper divisors (235184236).

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

134542100 is a wasteful number, since it uses less digits than its factorization.

134542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 134542100 is about 11599.2284226150. The cubic root of 134542100 is about 512.4121285001.

Adding to 134542100 its reverse (1245431), we get a palindrome (135787531).

The spelling of 134542100 in words is "one hundred thirty-four million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 101 110 140 154 173 175 202 220 275 308 346 350 385 404 505 550 692 700 707 770 865 1010 1100 1111 1211 1414 1540 1730 1903 1925 2020 2222 2422 2525 2828 3460 3535 3806 3850 4325 4444 4844 5050 5555 6055 7070 7612 7700 7777 8650 9515 10100 11110 12110 13321 14140 15554 17300 17473 17675 19030 22220 24220 26642 27775 30275 31108 34946 35350 38060 38885 47575 53284 55550 60550 66605 69892 70700 77770 87365 95150 111100 121100 122311 133210 155540 174730 190300 192203 194425 244622 266420 333025 349460 384406 388850 436825 489244 611555 666050 768812 777700 873650 961015 1223110 1332100 1345421 1747300 1922030 2446220 2690842 3057775 3844060 4805075 5381684 6115550 6727105 9610150 12231100 13454210 19220300 26908420 33635525 67271050 134542100