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135028008 = 2332171071031
BaseRepresentation
bin10000000110001…
…01110100101000
3100102002010121100
420003011310220
5234031344013
621222041400
73226501443
oct1003056450
9312063540
10135028008
116a2465a5
1239279260
1321c8923b
1413d0c65a
15bcc3473
hex80c5d28

135028008 has 96 divisors (see below), whose sum is σ = 391210560. Its totient is φ = 41925120.

The previous prime is 135027983. The next prime is 135028043. The reversal of 135028008 is 800820531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130453 + ... + 131483.

It is an arithmetic number, because the mean of its divisors is an integer number (4075110).

Almost surely, 2135028008 is an apocalyptic number.

135028008 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 135028008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195605280).

135028008 is an abundant number, since it is smaller than the sum of its proper divisors (256182552).

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

135028008 is a wasteful number, since it uses less digits than its factorization.

135028008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 135028008 is about 11620.1552485326. The cubic root of 135028008 is about 513.0282578509.

Adding to 135028008 its reverse (800820531), we get a palindrome (935848539).

The spelling of 135028008 in words is "one hundred thirty-five million, twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 107 136 153 204 214 306 321 408 428 612 642 856 963 1031 1224 1284 1819 1926 2062 2568 3093 3638 3852 4124 5457 6186 7276 7704 8248 9279 10914 12372 14552 16371 17527 18558 21828 24744 32742 35054 37116 43656 52581 65484 70108 74232 105162 110317 130968 140216 157743 210324 220634 315486 330951 420648 441268 630972 661902 882536 992853 1261944 1323804 1875389 1985706 2647608 3750778 3971412 5626167 7501556 7942824 11252334 15003112 16878501 22504668 33757002 45009336 67514004 135028008