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134678016 = 2932112657
BaseRepresentation
bin10000000011100…
…00011000000000
3100101102100111200
420001300120000
5233434144031
621210341200
73223513164
oct1001603000
9311370450
10134678016
116a027650
123912a800
1321b95b45
1413c5aca4
15bc548e6
hex8070600

134678016 has 120 divisors (see below), whose sum is σ = 424184904. Its totient is φ = 40796160.

The previous prime is 134678003. The next prime is 134678017. The reversal of 134678016 is 610876431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134678017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49360 + ... + 52016.

Almost surely, 2134678016 is an apocalyptic number.

134678016 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 134678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212092452).

134678016 is an abundant number, since it is smaller than the sum of its proper divisors (289506888).

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

134678016 is a wasteful number, since it uses less digits than its factorization.

134678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 134678016 is about 11605.0857816735. The cubic root of 134678016 is about 512.5846186672.

The spelling of 134678016 in words is "one hundred thirty-four million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2657 2816 3168 4224 4608 5314 5632 6336 7971 8448 10628 12672 15942 16896 21256 23913 25344 29227 31884 42512 47826 50688 58454 63768 85024 87681 95652 116908 127536 170048 175362 191304 233816 255072 263043 340096 350724 382608 467632 510144 526086 680192 701448 765216 935264 1020288 1052172 1360384 1402896 1530432 1870528 2040576 2104344 2805792 3060864 3741056 4081152 4208688 5611584 6121728 7482112 8417376 11223168 12243456 14964224 16834752 22446336 33669504 44892672 67339008 134678016