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135916133 = 3767109503
BaseRepresentation
bin10000001100111…
…10101001100101
3100110202020212212
420012132221211
5234243304013
621253053205
73240160643
oct1006365145
9313666785
10135916133
116a7a2891
1239627205
132220a562
14140a0193
15bdeb6a8
hex819ea65

135916133 has 16 divisors (see below), whose sum is σ = 143256960. Its totient is φ = 128817216.

The previous prime is 135916129. The next prime is 135916159. The reversal of 135916133 is 331619531.

It is a cyclic number.

It is not a de Polignac number, because 135916133 - 22 = 135916129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135916133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135910133) 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 15 ways as a sum of consecutive naturals, for example, 269960 + ... + 270462.

It is an arithmetic number, because the mean of its divisors is an integer number (8953560).

Almost surely, 2135916133 is an apocalyptic number.

It is an amenable number.

135916133 is a deficient number, since it is larger than the sum of its proper divisors (7340827).

135916133 is a wasteful number, since it uses less digits than its factorization.

135916133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716.

The product of its digits is 7290, while the sum is 32.

The square root of 135916133 is about 11658.3074672098. The cubic root of 135916133 is about 514.1505877318.

The spelling of 135916133 in words is "one hundred thirty-five million, nine hundred sixteen thousand, one hundred thirty-three".

Divisors: 1 37 67 109 503 2479 4033 7303 18611 33701 54827 270211 1246937 2028599 3673409 135916133