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135063104 = 26112107163
BaseRepresentation
bin10000000110011…
…10011001000000
3100102010220202012
420003032121000
5234034004404
621222512052
73230005661
oct1003163100
9312126665
10135063104
116a26aa00
1239295628
1321c9c1c7
1413d1b368
15bccda6e
hex80ce640

135063104 has 84 divisors (see below), whose sum is σ = 299173392. Its totient is φ = 60445440.

The previous prime is 135063083. The next prime is 135063139. The reversal of 135063104 is 401360531.

It is a happy number.

It is a super-2 number, since 2×1350631042 = 36484084124229632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135063104.

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, 828527 + ... + 828689.

It is an arithmetic number, because the mean of its divisors is an integer number (3561588).

Almost surely, 2135063104 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 135063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149586696).

135063104 is an abundant number, since it is smaller than the sum of its proper divisors (164110288).

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

135063104 is a wasteful number, since it uses less digits than its factorization.

135063104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 135063104 is about 11621.6652851474. The cubic root of 135063104 is about 513.0727021611.

The spelling of 135063104 in words is "one hundred thirty-five million, sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 121 163 176 214 242 326 352 428 484 652 704 856 968 1177 1304 1712 1793 1936 2354 2608 3424 3586 3872 4708 5216 6848 7172 7744 9416 10432 12947 14344 17441 18832 19723 25894 28688 34882 37664 39446 51788 57376 69764 75328 78892 103576 114752 139528 157784 191851 207152 279056 315568 383702 414304 558112 631136 767404 828608 1116224 1262272 1534808 2110361 3069616 4220722 6139232 8441444 12278464 16882888 33765776 67531552 135063104