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134109864 = 23337212671
BaseRepresentation
bin1111111111001…
…01101010101000
3100100100111011000
413333211222220
5233313003424
621150235000
73215625600
oct777455250
9310314130
10134109864
11697797a9
1238ab5a60
1321a27365
1413b4dc00
15bb913c9
hex7fe5aa8

134109864 has 96 divisors (see below), whose sum is σ = 433382400. Its totient is φ = 38314080.

The previous prime is 134109863. The next prime is 134109901. The reversal of 134109864 is 468901431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134109863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4249 + ... + 16919.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2134109864 is an apocalyptic number.

134109864 is a gapful number since it is divisible by the number (14) 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 134109864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216691200).

134109864 is an abundant number, since it is smaller than the sum of its proper divisors (299272536).

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

134109864 is a wasteful number, since it uses less digits than its factorization.

134109864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700 (or 12683 counting only the distinct ones).

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

The square root of 134109864 is about 11580.5813325584. The cubic root of 134109864 is about 511.8628070731.

The spelling of 134109864 in words is "one hundred thirty-four million, one hundred nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 12671 25342 38013 50684 76026 88697 101368 114039 152052 177394 228078 266091 304104 342117 354788 456156 532182 620879 684234 709576 798273 912312 1064364 1241758 1368468 1596546 1862637 2128728 2394819 2483516 2736936 3193092 3725274 4789638 4967032 5587911 6386184 7450548 9579276 11175822 14901096 16763733 19158552 22351644 33527466 44703288 67054932 134109864