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134456672 = 2571723167
BaseRepresentation
bin10000000001110…
…10010101100000
3100101000002212202
420000322111200
5233410103142
621201512332
73221601650
oct1000722540
9311002782
10134456672
1169996319
12390426a8
1321b1917c
1413c00360
15bc0e032
hex803a560

134456672 has 144 divisors (see below), whose sum is σ = 336688128. Its totient is φ = 51701760.

The previous prime is 134456669. The next prime is 134456677. The reversal of 134456672 is 276654431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134456677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006783 + ... + 2006849.

It is an arithmetic number, because the mean of its divisors is an integer number (2338112).

Almost surely, 2134456672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168344064).

134456672 is an abundant number, since it is smaller than the sum of its proper divisors (202231456).

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

134456672 is a wasteful number, since it uses less digits than its factorization.

134456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 134456672 is about 11595.5453515563. The cubic root of 134456672 is about 512.3036528842.

The spelling of 134456672 in words is "one hundred thirty-four million, four hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 67 68 112 119 124 134 136 217 224 238 248 268 272 289 434 469 476 496 527 536 544 578 868 938 952 992 1054 1072 1139 1156 1736 1876 1904 2023 2077 2108 2144 2278 2312 3472 3689 3752 3808 4046 4154 4216 4556 4624 6944 7378 7504 7973 8092 8308 8432 8959 9112 9248 14539 14756 15008 15946 16184 16616 16864 17918 18224 19363 29078 29512 31892 32368 33232 35309 35836 36448 38726 58156 59024 62713 63784 64736 66464 70618 71672 77452 116312 118048 125426 127568 135541 141236 143344 154904 232624 247163 250852 255136 271082 282472 286688 309808 465248 494326 501704 542164 564944 600253 619616 988652 1003408 1084328 1129888 1200506 1977304 2006816 2168656 2401012 3954608 4201771 4337312 4802024 7909216 8403542 9604048 16807084 19208096 33614168 67228336 134456672