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134222134134 = 231159109463683
BaseRepresentation
bin111110100000001000…
…0110011101101110110
3110211110011121212211010
41331000100303231312
54144341331243014
6141354422053050
712461102213214
oct1750020635566
9424404555733
10134222134134
1151a17993a90
122201a87a186
13c87083015a
1466d4123cb4
153758866359
hex1f40433b76

134222134134 has 128 divisors (see below), whose sum is σ = 301634150400. Its totient is φ = 39473723520.

The previous prime is 134222134129. The next prime is 134222134171. The reversal of 134222134134 is 431431222431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196518157 + ... + 196518839.

It is an arithmetic number, because the mean of its divisors is an integer number (2356516800).

Almost surely, 2134222134134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134222134134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150817075200).

134222134134 is an abundant number, since it is smaller than the sum of its proper divisors (167412016266).

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

134222134134 is a wasteful number, since it uses less digits than its factorization.

134222134134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330.

The product of its digits is 13824, while the sum is 30.

Adding to 134222134134 its reverse (431431222431), we get a palindrome (565653356565).

The spelling of 134222134134 in words is "one hundred thirty-four billion, two hundred twenty-two million, one hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 59 66 109 118 177 218 327 354 463 649 654 683 926 1199 1298 1366 1389 1947 2049 2398 2778 3597 3894 4098 5093 6431 7194 7513 10186 12862 15026 15279 19293 22539 27317 30558 38586 40297 45078 50467 54634 70741 74447 80594 81951 100934 120891 141482 148894 151401 163902 212223 223341 241782 300487 302802 316229 424446 443267 446682 555137 600974 632458 818917 886534 901461 948687 1110274 1329801 1637834 1665411 1802922 1897374 2456751 2659602 2977553 3330822 3478519 4392373 4913502 5955106 6957038 8784746 8932659 10435557 13177119 17865318 18657511 20871114 26354238 32753083 34468961 37315022 48316103 55972533 65506166 68937922 96632206 98259249 103406883 111945066 144948309 196518498 205232621 206813766 289896618 379158571 410465242 615697863 758317142 1137475713 1231395726 2033668699 2274951426 4067337398 6101006097 12202012194 22370355689 44740711378 67111067067 134222134134