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134008768 = 2629103701
BaseRepresentation
bin1111111110011…
…00111111000000
3100100011100110201
413333030333000
5233301240033
621144134544
73215025055
oct777147700
9310140421
10134008768
116970a853
1238a67454
13219c033a
1413b2502c
15bb7147d
hex7fccfc0

134008768 has 56 divisors (see below), whose sum is σ = 278160480. Its totient is φ = 63974400.

The previous prime is 134008747. The next prime is 134008817. The reversal of 134008768 is 867800431.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190818 + ... + 191518.

Almost surely, 2134008768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

134008768 is an abundant number, since it is smaller than the sum of its proper divisors (144151712).

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

134008768 is a wasteful number, since it uses less digits than its factorization.

134008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 134008768 is about 11576.2156165130. The cubic root of 134008768 is about 511.7341556100.

The spelling of 134008768 in words is "one hundred thirty-four million, eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 206 232 412 464 701 824 928 1402 1648 1856 2804 2987 3296 5608 5974 6592 11216 11948 20329 22432 23896 40658 44864 47792 72203 81316 95584 144406 162632 191168 288812 325264 577624 650528 1155248 1301056 2093887 2310496 4187774 4620992 8375548 16751096 33502192 67004384 134008768