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134082539600 = 24521355324733
BaseRepresentation
bin111110011011111110…
…0010011000001010000
3110211002102221202010012
41330313330103001100
54144100112231400
6141332514054052
712454455532112
oct1746774230120
9424072852105
10134082539600
11519561095a9
1221b9bb7a328
13c84a935539
1466bd7873b2
15374b48ed35
hex1f37f13050

134082539600 has 60 divisors (see below), whose sum is σ = 322170095196. Its totient is φ = 53626890240.

The previous prime is 134082539581. The next prime is 134082539639. The reversal of 134082539600 is 6935280431.

134082539600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9688071184 + 124394468416 = 98428^2 + 352696^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5408834 + ... + 5433566.

Almost surely, 2134082539600 is an apocalyptic number.

134082539600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134082539600 is an abundant number, since it is smaller than the sum of its proper divisors (188087555596).

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

134082539600 is a wasteful number, since it uses less digits than its factorization.

134082539600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38304 (or 38293 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 134082539600 in words is "one hundred thirty-four billion, eighty-two million, five hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13553 24733 27106 49466 54212 67765 98932 108424 123665 135530 197864 216848 247330 271060 338825 395728 494660 542120 618325 677650 989320 1084240 1236650 1355300 1978640 2473300 2710600 4946600 5421200 9893200 335206349 670412698 1340825396 1676031745 2681650792 3352063490 5363301584 6704126980 8380158725 13408253960 16760317450 26816507920 33520634900 67041269800 134082539600