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135334688 = 25171931289
BaseRepresentation
bin10000001000100…
…00101100100000
3100102122201021212
420010100230200
5234121202223
621232405252
73232216526
oct1004205440
9312581255
10135334688
116a435a55
12393a6828
13220659c8
1413d8c316
15bd34278
hex8110b20

135334688 has 48 divisors (see below), whose sum is σ = 283794840. Its totient is φ = 63307776.

The previous prime is 135334679. The next prime is 135334699. The reversal of 135334688 is 886433531.

It can be written as a sum of positive squares in 4 ways, for example, as 129322384 + 6012304 = 11372^2 + 2452^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104348 + ... + 105636.

Almost surely, 2135334688 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 135334688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141897420).

135334688 is an abundant number, since it is smaller than the sum of its proper divisors (148460152).

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

135334688 is a wasteful number, since it uses less digits than its factorization.

135334688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 135334688 is about 11633.3438013324. The cubic root of 135334688 is about 513.4163663215.

The spelling of 135334688 in words is "one hundred thirty-five million, three hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 193 272 386 544 772 1289 1544 2578 3088 3281 5156 6176 6562 10312 13124 20624 21913 26248 41248 43826 52496 87652 104992 175304 248777 350608 497554 701216 995108 1990216 3980432 4229209 7960864 8458418 16916836 33833672 67667344 135334688