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134742800 = 2452336857
BaseRepresentation
bin10000000100000…
…00001100010000
3100101112122101002
420002000030100
5233443232200
621212001132
73224203103
oct1002001420
9311478332
10134742800
116a071295
12391601a8
1321bb948a
1413c7673a
15bc68bd5
hex8080310

134742800 has 30 divisors (see below), whose sum is σ = 323720538. Its totient is φ = 53896960.

The previous prime is 134742793. The next prime is 134742821. The reversal of 134742800 is 8247431.

It can be written as a sum of positive squares in 3 ways, for example, as 26915344 + 107827456 = 5188^2 + 10384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168029 + ... + 168828.

Almost surely, 2134742800 is an apocalyptic number.

134742800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134742800 is an abundant number, since it is smaller than the sum of its proper divisors (188977738).

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

134742800 is a wasteful number, since it uses less digits than its factorization.

134742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336875 (or 336864 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 134742800 is about 11607.8766361467. The cubic root of 134742800 is about 512.6667948080. Note that the first 3 decimals are identical.

The spelling of 134742800 in words is "one hundred thirty-four million, seven hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 336857 673714 1347428 1684285 2694856 3368570 5389712 6737140 8421425 13474280 16842850 26948560 33685700 67371400 134742800