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134640960 = 26351391009
BaseRepresentation
bin10000000011001…
…11010101000000
3100101100110200020
420001213111000
5233432002320
621205453440
73223300146
oct1001472500
9311313606
10134640960
116a001823
1239111280
1321b8200c
1413c4b596
15bc48940
hex8067540

134640960 has 112 divisors (see below), whose sum is σ = 430987200. Its totient is φ = 35610624.

The previous prime is 134640953. The next prime is 134640977. The reversal of 134640960 is 69046431.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132936 + ... + 133944.

It is an arithmetic number, because the mean of its divisors is an integer number (3848100).

Almost surely, 2134640960 is an apocalyptic number.

134640960 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 134640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215493600).

134640960 is an abundant number, since it is smaller than the sum of its proper divisors (296346240).

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

134640960 is a wasteful number, since it uses less digits than its factorization.

134640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 134640960 is about 11603.4891304297. The cubic root of 134640960 is about 512.5376026346.

The spelling of 134640960 in words is "one hundred thirty-four million, six hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1009 1112 1390 1668 2018 2085 2224 2780 3027 3336 4036 4170 4448 5045 5560 6054 6672 8072 8340 8896 10090 11120 12108 13344 15135 16144 16680 20180 22240 24216 26688 30270 32288 33360 40360 44480 48432 60540 64576 66720 80720 96864 121080 133440 140251 161440 193728 242160 280502 322880 420753 484320 561004 701255 841506 968640 1122008 1402510 1683012 2103765 2244016 2805020 3366024 4207530 4488032 5610040 6732048 8415060 8976064 11220080 13464096 16830120 22440160 26928192 33660240 44880320 67320480 134640960