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134219008 = 287112619
BaseRepresentation
bin10000000000000…
…00010100000000
3100100120000212101
420000000110000
5233330002013
621152440144
73216562030
oct1000002400
9310500771
10134219008
1169843800
1238b49054
1321a64c41
1413b7b8c0
15bbb38dd
hex8000500

134219008 has 108 divisors (see below), whose sum is σ = 337096480. Its totient is φ = 52208640.

The previous prime is 134218993. The next prime is 134219009. The reversal of 134219008 is 800912431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134219009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216523 + ... + 217141.

Almost surely, 2134219008 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 134219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168548240).

134219008 is an abundant number, since it is smaller than the sum of its proper divisors (202877472).

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

134219008 is an equidigital number, since it uses as much as digits as its factorization.

134219008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 134219008 is about 11585.2927455460. The cubic root of 134219008 is about 512.0016275990.

The spelling of 134219008 in words is "one hundred thirty-four million, two hundred nineteen thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 619 704 847 896 968 1232 1238 1408 1694 1792 1936 2464 2476 2816 3388 3872 4333 4928 4952 6776 6809 7744 8666 9856 9904 13552 13618 15488 17332 19712 19808 27104 27236 30976 34664 39616 47663 54208 54472 69328 74899 79232 95326 108416 108944 138656 149798 158464 190652 216832 217888 277312 299596 381304 435776 524293 554624 599192 762608 871552 1048586 1109248 1198384 1525216 1743104 2097172 2396768 3050432 4194344 4793536 6100864 8388688 9587072 12201728 16777376 19174144 33554752 67109504 134219008