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134258208 = 2537241829
BaseRepresentation
bin10000000000010…
…01111000100000
3100100122000122020
420000021320200
5233332230313
621153341440
73220114230
oct1000117040
9310560566
10134258208
11698701a7
1238b67880
1321a79a36
1413b8bcc0
15bbc0323
hex8009e20

134258208 has 96 divisors (see below), whose sum is σ = 404933760. Its totient is φ = 38154240.

The previous prime is 134258203. The next prime is 134258213. The reversal of 134258208 is 802852431.

It is an interprime number because it is at equal distance from previous prime (134258203) and next prime (134258213).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (134258203) 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, 161538 + ... + 162366.

It is an arithmetic number, because the mean of its divisors is an integer number (4218060).

Almost surely, 2134258208 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 134258208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202466880).

134258208 is an abundant number, since it is smaller than the sum of its proper divisors (270675552).

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

134258208 is a wasteful number, since it uses less digits than its factorization.

134258208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 134258208 is about 11586.9844221868. The cubic root of 134258208 is about 512.0514678079.

The spelling of 134258208 in words is "one hundred thirty-four million, two hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 241 336 482 672 723 829 964 1446 1658 1687 1928 2487 2892 3316 3374 3856 4974 5061 5784 5803 6632 6748 7712 9948 10122 11568 11606 13264 13496 17409 19896 20244 23136 23212 26528 26992 34818 39792 40488 46424 53984 69636 79584 80976 92848 139272 161952 185696 199789 278544 399578 557088 599367 799156 1198734 1398523 1598312 2397468 2797046 3196624 4195569 4794936 5594092 6393248 8391138 9589872 11188184 16782276 19179744 22376368 33564552 44752736 67129104 134258208