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134707640 = 2354779907
BaseRepresentation
bin10000000011101…
…11100110111000
3100101110212010212
420001313212320
5233441121030
621211130252
73223665434
oct1001674670
9311425125
10134707640
116a047931
1239143988
1321ba6482
1413c679c4
15bc5d595
hex80779b8

134707640 has 64 divisors (see below), whose sum is σ = 313804800. Its totient is φ = 52011648.

The previous prime is 134707637. The next prime is 134707649. The reversal of 134707640 is 46707431.

It is a happy number.

It is a super-3 number, since 3×1347076403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 134707597 and 134707606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134707649) 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, 148067 + ... + 148973.

It is an arithmetic number, because the mean of its divisors is an integer number (4903200).

Almost surely, 2134707640 is an apocalyptic number.

134707640 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 134707640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156902400).

134707640 is an abundant number, since it is smaller than the sum of its proper divisors (179097160).

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

134707640 is a wasteful number, since it uses less digits than its factorization.

134707640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 134707640 is about 11606.3620484629. The cubic root of 134707640 is about 512.6221988998.

The spelling of 134707640 in words is "one hundred thirty-four million, seven hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 79 94 158 188 235 316 376 395 470 632 790 907 940 1580 1814 1880 3160 3628 3713 4535 7256 7426 9070 14852 18140 18565 29704 36280 37130 42629 71653 74260 85258 143306 148520 170516 213145 286612 341032 358265 426290 573224 716530 852580 1433060 1705160 2866120 3367691 6735382 13470764 16838455 26941528 33676910 67353820 134707640