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134403727437 = 37729671297
BaseRepresentation
bin111110100101100010…
…1100010000001001101
3110211220211022210000000
41331023011202001031
54200224323234222
6141424430154513
712465435555600
oct1751305420115
9424824283000
10134403727437
11520004447a1
122206b652a39
13c89c341305
1467102b4337
1537697869ac
hex1f4b16204d

134403727437 has 96 divisors (see below), whose sum is σ = 234908509440. Its totient is φ = 76663552896.

The previous prime is 134403727427. The next prime is 134403727459. The reversal of 134403727437 is 734727304431.

134403727437 is a `hidden beast` number, since 1 + 344 + 0 + 3 + 7 + 274 + 37 = 666.

It is not a de Polignac number, because 134403727437 - 27 = 134403727309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 134403727392 and 134403727401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134403727427) 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 95 ways as a sum of consecutive naturals, for example, 103625973 + ... + 103627269.

It is an arithmetic number, because the mean of its divisors is an integer number (2446963640).

Almost surely, 2134403727437 is an apocalyptic number.

It is an amenable number.

134403727437 is a deficient number, since it is larger than the sum of its proper divisors (100504782003).

134403727437 is an frugal number, since it uses more digits than its factorization.

134403727437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 134403727437 in words is "one hundred thirty-four billion, four hundred three million, seven hundred twenty-seven thousand, four hundred thirty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 967 1297 1323 1701 2187 2901 3891 3969 5103 6769 8703 9079 11673 11907 15309 20307 26109 27237 35019 35721 47383 60921 63553 78327 81711 105057 107163 142149 182763 190659 234981 245133 315171 426447 548289 571977 704943 735399 945513 1254199 1279341 1644867 1715931 2114829 2206197 2836539 3762597 3838023 4934601 5147793 6618591 8779393 11287791 11514069 14803803 15443379 19855773 26338179 33863373 34542207 46330137 61455751 79014537 101590119 103626621 138990411 184367253 237043611 304770357 553101759 711130833 914311071 1659305277 2133392499 2742933213 4977915831 6400177497 14933747493 19200532491 44801242479 134403727437