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135169839 = 32717612069
BaseRepresentation
bin10000000111010…
…00011100101111
3100102100100011100
420003220130233
5234100413324
621225054143
73230632110
oct1003503457
9312310140
10135169839
116a333112
1239327353
132200896c
1413d48207
15bd004c9
hex80e872f

135169839 has 48 divisors (see below), whose sum is σ = 240252480. Its totient is φ = 71470080.

The previous prime is 135169831. The next prime is 135169847. The reversal of 135169839 is 938961531.

135169839 is a `hidden beast` number, since 13 + 516 + 98 + 39 = 666.

It is an interprime number because it is at equal distance from previous prime (135169831) and next prime (135169847).

It is not a de Polignac number, because 135169839 - 23 = 135169831 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (174960) is a multiple of the sum of its prime factors (2160).

It is a junction number, because it is equal to n+sod(n) for n = 135169794 and 135169803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135169831) 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 47 ways as a sum of consecutive naturals, for example, 64297 + ... + 66365.

It is an arithmetic number, because the mean of its divisors is an integer number (5005260).

Almost surely, 2135169839 is an apocalyptic number.

135169839 is a deficient number, since it is larger than the sum of its proper divisors (105082641).

135169839 is a wasteful number, since it uses less digits than its factorization.

135169839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2157 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 135169839 is about 11626.2564482296. The cubic root of 135169839 is about 513.2078202255.

The spelling of 135169839 in words is "one hundred thirty-five million, one hundred sixty-nine thousand, eight hundred thirty-nine".

Divisors: 1 3 7 9 17 21 51 61 63 119 153 183 357 427 549 1037 1071 1281 2069 3111 3843 6207 7259 9333 14483 18621 21777 35173 43449 65331 105519 126209 130347 246211 316557 378627 738633 883463 1135881 2145553 2215899 2650389 6436659 7951167 15018871 19309977 45056613 135169839