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135985959 = 352329839
BaseRepresentation
bin10000001101011…
…11101100100111
3100110212210200000
420012233230213
5234303022314
621254352343
73240601344
oct1006575447
9313783600
10135985959
116a84029a
123965b6b3
1322233285
14140bb7cb
15be12209
hex81afb27

135985959 has 48 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 83625696.

The previous prime is 135985951. The next prime is 135985961. The reversal of 135985959 is 959589531.

It is a happy number.

It is not a de Polignac number, because 135985959 - 23 = 135985951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135985951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161662 + ... + 162500.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2135985959 is an apocalyptic number.

135985959 is a deficient number, since it is larger than the sum of its proper divisors (84161241).

135985959 is an equidigital number, since it uses as much as digits as its factorization.

135985959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 54.

The square root of 135985959 is about 11661.3017712432. The cubic root of 135985959 is about 514.2386197947.

The spelling of 135985959 in words is "one hundred thirty-five million, nine hundred eighty-five thousand, nine hundred fifty-nine".

Divisors: 1 3 9 23 27 29 69 81 87 207 243 261 621 667 783 839 1863 2001 2349 2517 5589 6003 7047 7551 18009 19297 22653 24331 54027 57891 67959 72993 162081 173673 203877 218979 521019 559613 656937 1563057 1678839 1970811 4689171 5036517 5912433 15109551 45328653 135985959