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134604416736 = 2533155792149
BaseRepresentation
bin111110101011100001…
…1000110011011100000
3110212102210221211222000
41331113003012123200
54201132212313421
6141500355444000
712503423443566
oct1752703063340
9425383854860
10134604416736
11520a3758619
12221068b6600
13c901aaa28a
14672cbd5a36
15377c1ca226
hex1f570c66e0

134604416736 has 48 divisors (see below), whose sum is σ = 392596218000. Its totient is φ = 44868138624.

The previous prime is 134604416711. The next prime is 134604416743. The reversal of 134604416736 is 637614406431.

134604416736 is a `hidden beast` number, since 1 + 3 + 4 + 604 + 4 + 1 + 6 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 134604416691 and 134604416700.

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 7 ways as a sum of consecutive naturals, for example, 77895211 + ... + 77896938.

It is an arithmetic number, because the mean of its divisors is an integer number (8179087875).

Almost surely, 2134604416736 is an apocalyptic number.

134604416736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134604416736 is an abundant number, since it is smaller than the sum of its proper divisors (257991801264).

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

134604416736 is a wasteful number, since it uses less digits than its factorization.

134604416736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155792168 (or 155792154 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 134604416736 in words is "one hundred thirty-four billion, six hundred four million, four hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 155792149 311584298 467376447 623168596 934752894 1246337192 1402129341 1869505788 2492674384 2804258682 3739011576 4206388023 4985348768 5608517364 7478023152 8412776046 11217034728 14956046304 16825552092 22434069456 33651104184 44868138912 67302208368 134604416736