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134829261 = 32717312131
BaseRepresentation
bin10000000100101…
…01010011001101
3100101201000222100
420002111103031
5234004014021
621213505313
73225013140
oct1002252315
9311630870
10134829261
116a120246
12391a2239
1321c19938
1413c9a057
15bc84626
hex80954cd

134829261 has 72 divisors (see below), whose sum is σ = 245374272. Its totient is φ = 69638400.

The previous prime is 134829257. The next prime is 134829307. The reversal of 134829261 is 162928431.

It is not a de Polignac number, because 134829261 - 22 = 134829257 is a prime.

It is a super-2 number, since 2×1348292612 = 36357859243612242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134829251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1029166 + ... + 1029296.

It is an arithmetic number, because the mean of its divisors is an integer number (3407976).

Almost surely, 2134829261 is an apocalyptic number.

It is an amenable number.

134829261 is a deficient number, since it is larger than the sum of its proper divisors (110545011).

134829261 is a wasteful number, since it uses less digits than its factorization.

134829261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 134829261 is about 11611.6002773089. The cubic root of 134829261 is about 512.7764264079.

The spelling of 134829261 in words is "one hundred thirty-four million, eight hundred twenty-nine thousand, two hundred sixty-one".

Divisors: 1 3 7 9 17 21 31 51 63 93 119 131 153 217 279 357 393 527 651 917 961 1071 1179 1581 1953 2227 2751 2883 3689 4061 4743 6681 6727 8253 8649 11067 12183 15589 16337 20043 20181 28427 33201 36549 46767 49011 60543 69037 85281 114359 125891 140301 147033 207111 255843 343077 377673 483259 621333 881237 1029231 1133019 1449777 2140147 2643711 4349331 6420441 7931133 14981029 19261323 44943087 134829261