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134768816 = 2473131889
BaseRepresentation
bin10000000100001…
…10100010110000
3100101120222001122
420002012202300
5234000100231
621212321412
73224342000
oct1002064260
9311528048
10134768816
116a089896
1239173268
1321bc8280
1413c82000
15bc7177b
hex80868b0

134768816 has 80 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 53286912.

The previous prime is 134768807. The next prime is 134768819. The reversal of 134768816 is 618867431.

134768816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (134768819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70400 + ... + 72288.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2134768816 is an apocalyptic number.

134768816 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 134768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

134768816 is an abundant number, since it is smaller than the sum of its proper divisors (193335184).

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

134768816 is a wasteful number, since it uses less digits than its factorization.

134768816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1911 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 134768816 is about 11608.9972004476. The cubic root of 134768816 is about 512.6997877422.

The spelling of 134768816 in words is "one hundred thirty-four million, seven hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 728 784 1274 1372 1456 1889 2548 2744 3778 4459 5096 5488 7556 8918 10192 13223 15112 17836 24557 26446 30224 35672 49114 52892 71344 92561 98228 105784 171899 185122 196456 211568 343798 370244 392912 647927 687596 740488 1203293 1295854 1375192 1480976 2406586 2591708 2750384 4813172 5183416 8423051 9626344 10366832 16846102 19252688 33692204 67384408 134768816