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134336768 = 28539901
BaseRepresentation
bin10000000000111…
…01000100000000
3100100210000101212
420000131010000
5233342234033
621155145252
73220562246
oct1000350400
9310700355
10134336768
1169914225
1238ba5228
1321aa6717
1413bac796
15bbd8748
hex801d100

134336768 has 36 divisors (see below), whose sum is σ = 273235788. Its totient is φ = 65894400.

The previous prime is 134336747. The next prime is 134336789. The reversal of 134336768 is 867633431.

It is an interprime number because it is at equal distance from previous prime (134336747) and next prime (134336789).

It can be written as a sum of positive squares in 2 ways, for example, as 115949824 + 18386944 = 10768^2 + 4288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8618 + ... + 18518.

It is an arithmetic number, because the mean of its divisors is an integer number (7589883).

Almost surely, 2134336768 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 134336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136617894).

134336768 is an abundant number, since it is smaller than the sum of its proper divisors (138899020).

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

134336768 is an frugal number, since it uses more digits than its factorization.

134336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9956 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 134336768 is about 11590.3739370220. The cubic root of 134336768 is about 512.1513224595.

The spelling of 134336768 in words is "one hundred thirty-four million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 9901 13568 19802 39604 79208 158416 316832 524753 633664 1049506 1267328 2099012 2534656 4198024 8396048 16792096 33584192 67168384 134336768