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134259132 = 223717149631
BaseRepresentation
bin10000000000010…
…10000110111100
3100100122001220110
420000022012330
5233332243012
621153350020
73220120020
oct1000120674
9310561813
10134259132
1169870967
1238b68310
1321a7a297
1413b8c380
15bbc073c
hex800a1bc

134259132 has 96 divisors (see below), whose sum is σ = 382233600. Its totient is φ = 35804160.

The previous prime is 134259121. The next prime is 134259137. The reversal of 134259132 is 231952431.

It is a self number, because there is not a number n which added to its sum of digits gives 134259132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134259137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212457 + ... + 213087.

It is an arithmetic number, because the mean of its divisors is an integer number (3981600).

Almost surely, 2134259132 is an apocalyptic number.

134259132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134259132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191116800).

134259132 is an abundant number, since it is smaller than the sum of its proper divisors (247974468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134259132 is a wasteful number, since it uses less digits than its factorization.

134259132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 134259132 is about 11587.0242944425. The cubic root of 134259132 is about 512.0526424958.

The spelling of 134259132 in words is "one hundred thirty-four million, two hundred fifty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 149 204 238 298 357 447 476 596 631 714 894 1043 1262 1428 1788 1893 2086 2524 2533 3129 3786 4172 4417 5066 6258 7572 7599 8834 10132 10727 12516 13251 15198 17668 17731 21454 26502 30396 32181 35462 42908 53004 53193 64362 70924 75089 94019 106386 128724 150178 188038 212772 225267 282057 300356 376076 450534 564114 658133 901068 1128228 1316266 1598323 1974399 2632532 3196646 3948798 4794969 6393292 7897596 9589938 11188261 19179876 22376522 33564783 44753044 67129566 134259132