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134568900 = 223252149521
BaseRepresentation
bin10000000010101…
…01101111000100
3100101012210211100
420001111233010
5233422201100
621204140100
73222550104
oct1001255704
9311183740
10134568900
1169a62674
1239097630
1321b5828b
1413c2d204
15bc32400
hex8055bc4

134568900 has 54 divisors (see below), whose sum is σ = 421801562. Its totient is φ = 35884800.

The previous prime is 134568899. The next prime is 134568901. The reversal of 134568900 is 9865431.

134568900 is a `hidden beast` number, since 1 + 3 + 4 + 568 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134568899) and next prime (134568901).

It can be written as a sum of positive squares in 3 ways, for example, as 36796356 + 97772544 = 6066^2 + 9888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134568901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73861 + ... + 75660.

Almost surely, 2134568900 is an apocalyptic number.

134568900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134568900 is an abundant number, since it is smaller than the sum of its proper divisors (287232662).

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

134568900 is a wasteful number, since it uses less digits than its factorization.

134568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149541 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 134568900 is about 11600.3836143466. The cubic root of 134568900 is about 512.4461494083.

The spelling of 134568900 in words is "one hundred thirty-four million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 149521 299042 448563 598084 747605 897126 1345689 1495210 1794252 2242815 2691378 2990420 3738025 4485630 5382756 6728445 7476050 8971260 11214075 13456890 14952100 22428150 26913780 33642225 44856300 67284450 134568900