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134813640 = 23351389971
BaseRepresentation
bin10000000100100…
…01011111001000
3100101200020112210
420002101133020
5234003014030
621213305120
73224616453
oct1002213710
9311606483
10134813640
116a10a535
12391951a0
1321c127b0
1413c9449a
15bc7ebb0
hex80917c8

134813640 has 128 divisors (see below), whose sum is σ = 440899200. Its totient is φ = 32778240.

The previous prime is 134813639. The next prime is 134813641. The reversal of 134813640 is 46318431.

It is an interprime number because it is at equal distance from previous prime (134813639) and next prime (134813641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134813598 and 134813607.

It is not an unprimeable number, because it can be changed into a prime (134813641) 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, 138355 + ... + 139325.

It is an arithmetic number, because the mean of its divisors is an integer number (3444525).

Almost surely, 2134813640 is an apocalyptic number.

134813640 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 134813640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220449600).

134813640 is an abundant number, since it is smaller than the sum of its proper divisors (306085560).

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

134813640 is a wasteful number, since it uses less digits than its factorization.

134813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 134813640 is about 11610.9276115218. The cubic root of 134813640 is about 512.7566226209.

The spelling of 134813640 in words is "one hundred thirty-four million, eight hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 89 104 120 130 156 178 195 260 267 312 356 390 445 520 534 712 780 890 971 1068 1157 1335 1560 1780 1942 2136 2314 2670 2913 3471 3560 3884 4628 4855 5340 5785 5826 6942 7768 9256 9710 10680 11570 11652 12623 13884 14565 17355 19420 23140 23304 25246 27768 29130 34710 37869 38840 46280 50492 58260 63115 69420 75738 86419 100984 116520 126230 138840 151476 172838 189345 252460 259257 302952 345676 378690 432095 504920 518514 691352 757380 864190 1037028 1123447 1296285 1514760 1728380 2074056 2246894 2592570 3370341 3456760 4493788 5185140 5617235 6740682 8987576 10370280 11234470 13481364 16851705 22468940 26962728 33703410 44937880 67406820 134813640