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134560000 = 2854292
BaseRepresentation
bin10000000010100…
…11100100000000
3100101012100121201
420001103210000
5233421410000
621204030544
73222512131
oct1001234400
9311170551
10134560000
1169a56a13
1239092454
1321b54203
1413c29c88
15bc2e96a
hex8053900

134560000 has 135 divisors (see below), whose sum is σ = 347608261. Its totient is φ = 51968000.

The previous prime is 134559973. The next prime is 134560001. The reversal of 134560000 is 65431.

The square root of 134560000 is 11600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 100641024 + 33918976 = 10032^2 + 5824^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134560000.

It is not an unprimeable number, because it can be changed into a prime (134560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4639986 + ... + 4640014.

Almost surely, 2134560000 is an apocalyptic number.

134560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134560000 is the 11600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134560000

134560000 is an abundant number, since it is smaller than the sum of its proper divisors (213048261).

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

134560000 is an frugal number, since it uses more digits than its factorization.

134560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 134560000 is about 512.4348519211.

The spelling of 134560000 in words is "one hundred thirty-four million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 580 625 640 725 800 841 928 1000 1160 1250 1280 1450 1600 1682 1856 2000 2320 2500 2900 3200 3364 3625 3712 4000 4205 4640 5000 5800 6400 6728 7250 7424 8000 8410 9280 10000 11600 13456 14500 16000 16820 18125 18560 20000 21025 23200 26912 29000 32000 33640 36250 37120 40000 42050 46400 53824 58000 67280 72500 80000 84100 92800 105125 107648 116000 134560 145000 160000 168200 185600 210250 215296 232000 269120 290000 336400 420500 464000 525625 538240 580000 672800 841000 928000 1051250 1076480 1160000 1345600 1682000 2102500 2320000 2691200 3364000 4205000 4640000 5382400 6728000 8410000 13456000 16820000 26912000 33640000 67280000 134560000