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134818816 = 2101111969
BaseRepresentation
bin10000000100100…
…10110000000000
3100101200111122111
420002102300000
5234003200231
621213345104
73224640526
oct1002226000
9311614574
10134818816
116a113410
1239198194
1321c14c62
1413c96316
15bc814b1
hex8092c00

134818816 has 44 divisors (see below), whose sum is σ = 294031080. Its totient is φ = 61276160.

The previous prime is 134818771. The next prime is 134818841. The reversal of 134818816 is 618818431.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×1348188162 = 36352226295283712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5280 + ... + 17248.

Almost surely, 2134818816 is an apocalyptic number.

134818816 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 134818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147015540).

134818816 is an abundant number, since it is smaller than the sum of its proper divisors (159212264).

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

134818816 is a wasteful number, since it uses less digits than its factorization.

134818816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11982 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 134818816 is about 11611.1505028572. The cubic root of 134818816 is about 512.7631847519.

It can be divided in two parts, 1348 and 18816, that added together give a square (20164 = 1422).

The spelling of 134818816 in words is "one hundred thirty-four million, eight hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 11969 23938 47876 95752 131659 191504 263318 383008 526636 766016 1053272 1532032 2106544 3064064 4213088 6128128 8426176 12256256 16852352 33704704 67409408 134818816