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134723760 = 24351912939
BaseRepresentation
bin10000000011110…
…11100010110000
3100101111200020220
420001323202300
5233442130020
621211333040
73224063433
oct1001734260
9311450226
10134723760
116a058a56
1239151180
1321bb0902
1413c6d81a
15bc63240
hex807b8b0

134723760 has 80 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 35726080.

The previous prime is 134723753. The next prime is 134723767. The reversal of 134723760 is 67327431.

It is an interprime number because it is at equal distance from previous prime (134723753) and next prime (134723767).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (134723767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44371 + ... + 47309.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2134723760 is an apocalyptic number.

134723760 is a gapful number since it is divisible by the number (10) 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 134723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

134723760 is an abundant number, since it is smaller than the sum of its proper divisors (285249360).

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

134723760 is a wasteful number, since it uses less digits than its factorization.

134723760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 134723760 is about 11607.0564744038. The cubic root of 134723760 is about 512.6426459961.

The spelling of 134723760 in words is "one hundred thirty-four million, seven hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 2939 3056 3820 4584 5730 5878 7640 8817 9168 11460 11756 14695 15280 17634 22920 23512 29390 35268 44085 45840 47024 58780 70536 88170 117560 141072 176340 235120 352680 561349 705360 1122698 1684047 2245396 2806745 3368094 4490792 5613490 6736188 8420235 8981584 11226980 13472376 16840470 22453960 26944752 33680940 44907920 67361880 134723760