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135120505 = 5131727193
BaseRepresentation
bin10000000110111…
…00011001111001
3100102020211111011
420003130121321
5234042324010
621224033521
73230335222
oct1003343171
9312224434
10135120505
116a2aa043
12393028a1
1321cbc380
1413d34249
15bce0a8a
hex80dc679

135120505 has 24 divisors (see below), whose sum is σ = 185518872. Its totient is φ = 93898752.

The previous prime is 135120499. The next prime is 135120509. The reversal of 135120505 is 505021531.

It can be written as a sum of positive squares in 12 ways, for example, as 47004736 + 88115769 = 6856^2 + 9387^2 .

It is not a de Polignac number, because 135120505 - 25 = 135120473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135120509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15189 + ... + 22381.

It is an arithmetic number, because the mean of its divisors is an integer number (7729953).

Almost surely, 2135120505 is an apocalyptic number.

It is an amenable number.

135120505 is a deficient number, since it is larger than the sum of its proper divisors (50398367).

135120505 is a wasteful number, since it uses less digits than its factorization.

135120505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 135120505 is about 11624.1345914438. The cubic root of 135120505 is about 513.1453761289.

The spelling of 135120505 in words is "one hundred thirty-five million, one hundred twenty thousand, five hundred five".

Divisors: 1 5 13 17 65 85 221 289 1105 1445 3757 7193 18785 35965 93509 122281 467545 611405 1589653 2078777 7948265 10393885 27024101 135120505