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134853680 = 245131271021
BaseRepresentation
bin10000000100110…
…11010000110000
3100101202021110202
420002123100300
5234010304210
621214214332
73225144263
oct1002332060
9311667422
10134853680
116a137625
12391b43a8
1321c27aa0
1413ca4cda
15bc8b9a5
hex809b430

134853680 has 80 divisors (see below), whose sum is σ = 340644864. Its totient is φ = 49351680.

The previous prime is 134853679. The next prime is 134853713. The reversal of 134853680 is 86358431.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131570 + ... + 132590.

Almost surely, 2134853680 is an apocalyptic number.

134853680 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 134853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170322432).

134853680 is an abundant number, since it is smaller than the sum of its proper divisors (205791184).

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

134853680 is a wasteful number, since it uses less digits than its factorization.

134853680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 134853680 is about 11612.6517212909. The cubic root of 134853680 is about 512.8073809441.

The spelling of 134853680 in words is "one hundred thirty-four million, eight hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 508 520 635 1016 1021 1040 1270 1651 2032 2042 2540 3302 4084 5080 5105 6604 8168 8255 10160 10210 13208 13273 16336 16510 20420 26416 26546 33020 40840 53092 66040 66365 81680 106184 129667 132080 132730 212368 259334 265460 518668 530920 648335 1037336 1061840 1296670 1685671 2074672 2593340 3371342 5186680 6742684 8428355 10373360 13485368 16856710 26970736 33713420 67426840 134853680