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134250768 = 243217173317
BaseRepresentation
bin10000000000010…
…00000100010000
3100100121122102200
420000020010100
5233332011033
621153243200
73220053441
oct1000100420
9310548380
10134250768
1169865653
1238b63500
1321a76532
1413b892c8
15bbbd013
hex8008110

134250768 has 120 divisors (see below), whose sum is σ = 401378328. Its totient is φ = 41742336.

The previous prime is 134250761. The next prime is 134250791. The reversal of 134250768 is 867052431.

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 102576384 = 5628^2 + 10128^2 .

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 (134250761) 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, 423346 + ... + 423662.

Almost surely, 2134250768 is an apocalyptic number.

134250768 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 134250768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200689164).

134250768 is an abundant number, since it is smaller than the sum of its proper divisors (267127560).

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

134250768 is a wasteful number, since it uses less digits than its factorization.

134250768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 134250768 is about 11586.6633678553. The cubic root of 134250768 is about 512.0420090857.

The spelling of 134250768 in words is "one hundred thirty-four million, two hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 173 204 272 306 317 346 408 519 612 634 692 816 951 1038 1224 1268 1384 1557 1902 2076 2448 2536 2768 2853 2941 3114 3804 4152 5072 5389 5706 5882 6228 7608 8304 8823 10778 11412 11764 12456 15216 16167 17646 21556 22824 23528 24912 26469 32334 35292 43112 45648 47056 48501 52938 54841 64668 70584 86224 97002 105876 109682 129336 141168 164523 194004 211752 219364 258672 329046 388008 423504 438728 493569 658092 776016 877456 932297 987138 1316184 1864594 1974276 2632368 2796891 3729188 3948552 5593782 7458376 7897104 8390673 11187564 14916752 16781346 22375128 33562692 44750256 67125384 134250768