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134005872 = 243711132789
BaseRepresentation
bin1111111110011…
…00010001110000
3100100011012111110
413333030101300
5233301141442
621144113320
73215013450
oct777142160
9310135443
10134005872
1169708660
1238a65840
13219bbc20
1413b23d60
15bb7069c
hex7fcc470

134005872 has 160 divisors (see below), whose sum is σ = 464970240. Its totient is φ = 32117760.

The previous prime is 134005871. The next prime is 134005873. The reversal of 134005872 is 278500431.

It is an interprime number because it is at equal distance from previous prime (134005871) and next prime (134005873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134005871) 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, 46654 + ... + 49442.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2134005872 is an apocalyptic number.

134005872 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 134005872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

134005872 is an abundant number, since it is smaller than the sum of its proper divisors (330964368).

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

134005872 is a wasteful number, since it uses less digits than its factorization.

134005872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 134005872 is about 11576.0905317814. The cubic root of 134005872 is about 511.7304693020.

The spelling of 134005872 in words is "one hundred thirty-four million, five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 2789 3003 3432 3696 4004 4368 5578 6006 6864 8008 8367 11156 12012 16016 16734 19523 22312 24024 30679 33468 36257 39046 44624 48048 58569 61358 66936 72514 78092 92037 108771 117138 122716 133872 145028 156184 184074 214753 217542 234276 245432 253799 290056 312368 368148 398827 429506 435084 468552 490864 507598 580112 644259 736296 761397 797654 859012 870168 937104 1015196 1196481 1288518 1472592 1522794 1595308 1718024 1740336 2030392 2392962 2577036 2791789 3045588 3190616 3436048 4060784 4785924 5154072 5583578 6091176 6381232 8375367 9571848 10308144 11167156 12182352 16750734 19143696 22334312 33501468 44668624 67002936 134005872