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134018016 = 25311179709
BaseRepresentation
bin1111111110011…
…11001111100000
3100100011211011020
413333033033200
5233302034031
621144245440
73215064036
oct777171740
9310154136
10134018016
11697167a0
1238a70880
13219c4602
1413b28556
15bb74096
hex7fcf3e0

134018016 has 96 divisors (see below), whose sum is σ = 386467200. Its totient is φ = 40327680.

The previous prime is 134017997. The next prime is 134018029. The reversal of 134018016 is 610810431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1340180162 = 35921657225152512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188670 + ... + 189378.

It is an arithmetic number, because the mean of its divisors is an integer number (4025700).

Almost surely, 2134018016 is an apocalyptic number.

134018016 is a gapful number since it is divisible by the number (16) 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 134018016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193233600).

134018016 is an abundant number, since it is smaller than the sum of its proper divisors (252449184).

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

134018016 is a wasteful number, since it uses less digits than its factorization.

134018016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 134018016 is about 11576.6150493139. The cubic root of 134018016 is about 511.7459270005.

Adding to 134018016 its reverse (610810431), we get a palindrome (744828447).

The spelling of 134018016 in words is "one hundred thirty-four million, eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 179 264 352 358 528 537 709 716 1056 1074 1418 1432 1969 2127 2148 2836 2864 3938 4254 4296 5672 5728 5907 7799 7876 8508 8592 11344 11814 15598 15752 17016 17184 22688 23397 23628 31196 31504 34032 46794 47256 62392 63008 68064 93588 94512 124784 126911 187176 189024 249568 253822 374352 380733 507644 748704 761466 1015288 1396021 1522932 2030576 2792042 3045864 4061152 4188063 5584084 6091728 8376126 11168168 12183456 16752252 22336336 33504504 44672672 67009008 134018016