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134660064 = 25371118217
BaseRepresentation
bin10000000011010…
…11111111100000
3100101101102212210
420001223333200
5233433110224
621210122120
73223406640
oct1001537740
9311342783
10134660064
116a015110
1239120340
1321b8a916
1413c54520
15bc4e429
hex806bfe0

134660064 has 96 divisors (see below), whose sum is σ = 440729856. Its totient is φ = 34974720.

The previous prime is 134660059. The next prime is 134660069. The reversal of 134660064 is 460066431.

It is an interprime number because it is at equal distance from previous prime (134660059) and next prime (134660069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134660069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (4590936).

Almost surely, 2134660064 is an apocalyptic number.

134660064 is a gapful number since it is divisible by the number (14) 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 134660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220364928).

134660064 is an abundant number, since it is smaller than the sum of its proper divisors (306069792).

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

134660064 is a wasteful number, since it uses less digits than its factorization.

134660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18248 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 134660064 is about 11604.3123018988. The cubic root of 134660064 is about 512.5618425472.

The spelling of 134660064 in words is "one hundred thirty-four million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 18217 36434 54651 72868 109302 127519 145736 200387 218604 255038 291472 382557 400774 437208 510076 582944 601161 765114 801548 874416 1020152 1202322 1402709 1530228 1603096 1748832 2040304 2404644 2805418 3060456 3206192 4080608 4208127 4809288 5610836 6120912 6412384 8416254 9618576 11221672 12241824 16832508 19237152 22443344 33665016 44886688 67330032 134660064