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135063135 = 3253781119
BaseRepresentation
bin10000000110011…
…10011001011111
3100102010220210100
420003032121133
5234034010020
621222512143
73230006034
oct1003163137
9312126710
10135063135
116a26aa29
1239295653
1321c9c21c
1413d1b38b
15bccda90
hex80ce65f

135063135 has 24 divisors (see below), whose sum is σ = 240439680. Its totient is φ = 70085952.

The previous prime is 135063083. The next prime is 135063139. The reversal of 135063135 is 531360531.

135063135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135063135 - 210 = 135062111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135063099 and 135063108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135063139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38895 + ... + 42224.

It is an arithmetic number, because the mean of its divisors is an integer number (10018320).

Almost surely, 2135063135 is an apocalyptic number.

135063135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135063135 is a deficient number, since it is larger than the sum of its proper divisors (105376545).

135063135 is a wasteful number, since it uses less digits than its factorization.

135063135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81167 (or 81164 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 135063135 is about 11621.6666188632. Note that the first 4 decimals coincide. The cubic root of 135063135 is about 513.0727414149.

It can be divided in two parts, 13506 and 3135, that added together give a square (16641 = 1292).

The spelling of 135063135 in words is "one hundred thirty-five million, sixty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 81119 243357 405595 730071 1216785 3001403 3650355 9004209 15007015 27012627 45021045 135063135