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134388064 = 2519673299
BaseRepresentation
bin10000000001010…
…01100101100000
3100100212121202201
420000221211200
5233400404224
621200222544
73221164636
oct1000514540
9310777681
10134388064
1169949818
123900aa54
1321ac3b85
1413bc3356
15bbe8a44
hex8029960

134388064 has 48 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 62688384.

The previous prime is 134388049. The next prime is 134388071. The reversal of 134388064 is 460883431.

134388064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39087 + ... + 42385.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 2134388064 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 134388064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

134388064 is an abundant number, since it is smaller than the sum of its proper divisors (148355936).

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

134388064 is a wasteful number, since it uses less digits than its factorization.

134388064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 134388064 is about 11592.5865966142. The cubic root of 134388064 is about 512.2165018626.

The spelling of 134388064 in words is "one hundred thirty-four million, three hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 1072 1273 2144 2546 3299 5092 6598 10184 13196 20368 26392 40736 52784 62681 105568 125362 221033 250724 442066 501448 884132 1002896 1768264 2005792 3536528 4199627 7073056 8399254 16798508 33597016 67194032 134388064