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135339056 = 242931972
BaseRepresentation
bin10000001000100…
…01110000110000
3100102122221021122
420010101300300
5234121322211
621232441412
73232235336
oct1004216060
9312587248
10135339056
116a439266
12393a9268
13220679a8
1413d8db56
15bd356db
hex8111c30

135339056 has 60 divisors (see below), whose sum is σ = 282928320. Its totient is φ = 62576640.

The previous prime is 135339049. The next prime is 135339077. The reversal of 135339056 is 650933531.

It is a super-2 number, since 2×1353390562 = 36633320157942272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1395200 + ... + 1395296.

It is an arithmetic number, because the mean of its divisors is an integer number (4715472).

Almost surely, 2135339056 is an apocalyptic number.

135339056 is a gapful number since it is divisible by the number (16) 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 135339056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141464160).

135339056 is an abundant number, since it is smaller than the sum of its proper divisors (147589264).

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

135339056 is an equidigital number, since it uses as much as digits as its factorization.

135339056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 35.

The square root of 135339056 is about 11633.5315360384. The cubic root of 135339056 is about 513.4218898587.

The spelling of 135339056 in words is "one hundred thirty-five million, three hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 29 31 58 62 97 116 124 194 232 248 388 464 496 776 899 1552 1798 2813 3007 3596 5626 6014 7192 9409 11252 12028 14384 18818 22504 24056 37636 45008 48112 75272 87203 150544 174406 272861 291679 348812 545722 583358 697624 1091444 1166716 1395248 2182888 2333432 4365776 4666864 8458691 16917382 33834764 67669528 135339056