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134144192 = 2671331743
BaseRepresentation
bin1111111111011…
…10000011000000
3100100102020020102
413333232003000
5233320103232
621151101532
73216130640
oct777560300
9310366212
10134144192
11697a2576
1238b118a8
1321a39b80
1413b5c520
15bb9b662
hex7fee0c0

134144192 has 112 divisors (see below), whose sum is σ = 338644992. Its totient is φ = 51287040.

The previous prime is 134144191. The next prime is 134144201. The reversal of 134144192 is 291441431.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (134144191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180173 + ... + 180915.

It is an arithmetic number, because the mean of its divisors is an integer number (3023616).

Almost surely, 2134144192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322496).

134144192 is an abundant number, since it is smaller than the sum of its proper divisors (204500800).

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

134144192 is a wasteful number, since it uses less digits than its factorization.

134144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 134144192 is about 11582.0633740280. The cubic root of 134144192 is about 511.9064770586.

The spelling of 134144192 in words is "one hundred thirty-four million, one hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 743 806 832 868 992 1456 1486 1612 1736 1984 2821 2912 2972 3224 3472 5201 5642 5824 5944 6448 6944 9659 10402 11284 11888 12896 13888 19318 20804 22568 23033 23776 25792 38636 41608 45136 46066 47552 67613 77272 83216 90272 92132 135226 154544 161231 166432 180544 184264 270452 299429 309088 322462 332864 368528 540904 598858 618176 644924 737056 1081808 1197716 1289848 1474112 2096003 2163616 2395432 2579696 4192006 4327232 4790864 5159392 8384012 9581728 10318784 16768024 19163456 33536048 67072096 134144192