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134255040 = 26351071307
BaseRepresentation
bin10000000000010…
…01000111000000
3100100121212021220
420000021013000
5233332130130
621153315040
73220102053
oct1000110700
9310555256
10134255040
1169868887
1238b65a80
1321a7846a
1413b8aa9a
15bbbe410
hex80091c0

134255040 has 112 divisors (see below), whose sum is σ = 430572672. Its totient is φ = 35439616.

The previous prime is 134255029. The next prime is 134255053. The reversal of 134255040 is 40552431.

134255040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134255040.

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, 102067 + ... + 103373.

Almost surely, 2134255040 is an apocalyptic number.

134255040 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 134255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215286336).

134255040 is an abundant number, since it is smaller than the sum of its proper divisors (296317632).

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

134255040 is a wasteful number, since it uses less digits than its factorization.

134255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 134255040 is about 11586.8477162686. The cubic root of 134255040 is about 512.0474402657.

The spelling of 134255040 in words is "one hundred thirty-four million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 960 1070 1284 1307 1605 1712 2140 2568 2614 3210 3424 3921 4280 5136 5228 6420 6535 6848 7842 8560 10272 10456 12840 13070 15684 17120 19605 20544 20912 25680 26140 31368 34240 39210 41824 51360 52280 62736 78420 83648 102720 104560 125472 139849 156840 209120 250944 279698 313680 418240 419547 559396 627360 699245 839094 1118792 1254720 1398490 1678188 2097735 2237584 2796980 3356376 4195470 4475168 5593960 6712752 8390940 8950336 11187920 13425504 16781880 22375840 26851008 33563760 44751680 67127520 134255040