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134216800 = 2552167771
BaseRepresentation
bin1111111111111…
…11110001100000
3100100112220211121
413333333301200
5233324414200
621152422024
73216552424
oct777776140
9310486747
10134216800
1169842083
1238b47914
1321a63c33
1413b7ab84
15bbb2e1a
hex7fffc60

134216800 has 36 divisors (see below), whose sum is σ = 327658716. Its totient is φ = 53686400.

The previous prime is 134216791. The next prime is 134216801. The reversal of 134216800 is 8612431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134216801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83086 + ... + 84685.

It is an arithmetic number, because the mean of its divisors is an integer number (9101631).

Almost surely, 2134216800 is an apocalyptic number.

134216800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134216800 is an abundant number, since it is smaller than the sum of its proper divisors (193441916).

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

134216800 is a wasteful number, since it uses less digits than its factorization.

134216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167791 (or 167778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 134216800 is about 11585.1974519211. The cubic root of 134216800 is about 511.9988199843.

The spelling of 134216800 in words is "one hundred thirty-four million, two hundred sixteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 167771 335542 671084 838855 1342168 1677710 2684336 3355420 4194275 5368672 6710840 8388550 13421680 16777100 26843360 33554200 67108400 134216800