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134078208 = 2831159269
BaseRepresentation
bin1111111110111…
…01111100000000
3100100021212201120
413333131330000
5233311000313
621145432240
73215434365
oct777357400
9310255646
10134078208
1169757a40
1238a9b680
1321a15b24
1413b4246c
15bb86d23
hex7fddf00

134078208 has 144 divisors (see below), whose sum is σ = 397353600. Its totient is φ = 39792640.

The previous prime is 134078177. The next prime is 134078209. The reversal of 134078208 is 802870431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134078209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498298 + ... + 498566.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2134078208 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 134078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198676800).

134078208 is an abundant number, since it is smaller than the sum of its proper divisors (263275392).

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

134078208 is a wasteful number, since it uses less digits than its factorization.

134078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 134078208 is about 11579.2144811295. The cubic root of 134078208 is about 511.8225296378.

The spelling of 134078208 in words is "one hundred thirty-four million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 269 352 354 384 472 528 538 649 704 708 768 807 944 1056 1076 1298 1408 1416 1614 1888 1947 2112 2152 2596 2816 2832 2959 3228 3776 3894 4224 4304 5192 5664 5918 6456 7552 7788 8448 8608 8877 10384 11328 11836 12912 15104 15576 15871 17216 17754 20768 22656 23672 25824 31152 31742 34432 35508 41536 45312 47344 47613 51648 62304 63484 68864 71016 83072 94688 95226 103296 124608 126968 142032 166144 174581 189376 190452 206592 249216 253936 284064 349162 378752 380904 498432 507872 523743 568128 698324 757504 761808 1015744 1047486 1136256 1396648 1523616 2031488 2094972 2272512 2793296 3047232 4062976 4189944 5586592 6094464 8379888 11173184 12188928 16759776 22346368 33519552 44692736 67039104 134078208