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134760768 = 26317194153
BaseRepresentation
bin10000000100001…
…00100101000000
3100101120120000120
420002010211000
5233444321033
621212220240
73224306352
oct1002044500
9311516016
10134760768
116a08383a
123916a680
1321bc46cc
1413c7d0d2
15bc6e1b3
hex8084940

134760768 has 224 divisors, whose sum is σ = 414771840. Its totient is φ = 38338560.

The previous prime is 134760763. The next prime is 134760833. The reversal of 134760768 is 867067431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134760761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542630 + ... + 2542682.

It is an arithmetic number, because the mean of its divisors is an integer number (1851660).

Almost surely, 2134760768 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 134760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

134760768 is an abundant number, since it is smaller than the sum of its proper divisors (280011072).

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

134760768 is a wasteful number, since it uses less digits than its factorization.

134760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 134760768 is about 11608.6505675724. The cubic root of 134760768 is about 512.6895818945.

The spelling of 134760768 in words is "one hundred thirty-four million, seven hundred sixty thousand, seven hundred sixty-eight".