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134466048 = 293371137
BaseRepresentation
bin10000000001111…
…00101000000000
3100101000120202000
420000330220000
5233410403143
621202024000
73221641203
oct1000745000
9311016660
10134466048
11699a2372
1239048000
1321b20512
1413c0393a
15bc11bd3
hex803ca00

134466048 has 160 divisors (see below), whose sum is σ = 406581120. Its totient is φ = 43868160.

The previous prime is 134466043. The next prime is 134466083. The reversal of 134466048 is 840664431.

134466048 is a `hidden beast` number, since 1 + 3 + 4 + 46 + 604 + 8 = 666.

It is a super-2 number, since 2×1344660482 = 36162236129476608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134466041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981436 + ... + 981572.

It is an arithmetic number, because the mean of its divisors is an integer number (2541132).

Almost surely, 2134466048 is an apocalyptic number.

134466048 is a gapful number since it is divisible by the number (18) 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 134466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203290560).

134466048 is an abundant number, since it is smaller than the sum of its proper divisors (272115072).

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

134466048 is an equidigital number, since it uses as much as digits as its factorization.

134466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 134466048 is about 11595.9496376968. The cubic root of 134466048 is about 512.3155606790.

The spelling of 134466048 in words is "one hundred thirty-four million, four hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 137 142 144 192 213 216 256 274 284 288 384 411 426 432 512 548 568 576 639 768 822 852 864 1096 1136 1152 1233 1278 1536 1644 1704 1728 1917 2192 2272 2304 2466 2556 3288 3408 3456 3699 3834 4384 4544 4608 4932 5112 6576 6816 6912 7398 7668 8768 9088 9727 9864 10224 13152 13632 13824 14796 15336 17536 18176 19454 19728 20448 26304 27264 29181 29592 30672 35072 36352 38908 39456 40896 52608 54528 58362 59184 61344 70144 77816 78912 81792 87543 105216 109056 116724 118368 122688 155632 157824 163584 175086 210432 233448 236736 245376 262629 311264 315648 327168 350172 466896 473472 490752 525258 622528 631296 700344 933792 946944 981504 1050516 1245056 1400688 1867584 1893888 2101032 2490112 2801376 3735168 4202064 4980224 5602752 7470336 8404128 11205504 14940672 16808256 22411008 33616512 44822016 67233024 134466048