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134008140 = 223572192399
BaseRepresentation
bin1111111110011…
…00110101001100
3100100011022121110
413333030311030
5233301230030
621144132020
73215023200
oct777146514
9310138543
10134008140
116970a332
1238a67010
13219bcc76
1413b24b00
15bb711b0
hex7fccd4c

134008140 has 144 divisors (see below), whose sum is σ = 459648000. Its totient is φ = 29006208.

The previous prime is 134008111. The next prime is 134008157. The reversal of 134008140 is 41800431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54661 + ... + 57059.

It is an arithmetic number, because the mean of its divisors is an integer number (3192000).

Almost surely, 2134008140 is an apocalyptic number.

134008140 is a gapful number since it is divisible by the number (10) 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 134008140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

134008140 is an abundant number, since it is smaller than the sum of its proper divisors (325639860).

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

134008140 is a wasteful number, since it uses less digits than its factorization.

134008140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 134008140 is about 11576.1884919001. The cubic root of 134008140 is about 511.7333562356.

Adding to 134008140 its reverse (41800431), we get a palindrome (175808571).

The spelling of 134008140 in words is "one hundred thirty-four million, eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2399 2660 2793 2940 3724 3990 4655 4798 5586 7197 7980 9310 9596 11172 11995 13965 14394 16793 18620 23990 27930 28788 33586 35985 45581 47980 50379 55860 67172 71970 83965 91162 100758 117551 136743 143940 167930 182324 201516 227905 235102 251895 273486 319067 335860 352653 455810 470204 503790 546972 587755 638134 683715 705306 911620 957201 1007580 1175510 1276268 1367430 1410612 1595335 1763265 1914402 2233469 2351020 2734860 3190670 3526530 3828804 4466938 4786005 6381340 6700407 7053060 8933876 9572010 11167345 13400814 19144020 22334690 26801628 33502035 44669380 67004070 134008140