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134800800 = 2535256167
BaseRepresentation
bin10000000100011…
…10010110100000
3100101122120221020
420002032112200
5234002111200
621213125440
73224534151
oct1002162640
9311576836
10134800800
116a100922
1239189880
1321c099b4
1413c8d928
15bc7aea0
hex808e5a0

134800800 has 72 divisors (see below), whose sum is σ = 438784416. Its totient is φ = 35946240.

The previous prime is 134800777. The next prime is 134800807. The reversal of 134800800 is 8008431.

134800800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134800807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25684 + ... + 30483.

It is an arithmetic number, because the mean of its divisors is an integer number (6094228).

Almost surely, 2134800800 is an apocalyptic number.

134800800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134800800 is an abundant number, since it is smaller than the sum of its proper divisors (303983616).

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

134800800 is a wasteful number, since it uses less digits than its factorization.

134800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56190 (or 56177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 134800800 is about 11610.3746709570. The cubic root of 134800800 is about 512.7403433481.

The spelling of 134800800 in words is "one hundred thirty-four million, eight hundred thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 56167 112334 168501 224668 280835 337002 449336 561670 674004 842505 898672 1123340 1348008 1404175 1685010 1797344 2246680 2696016 2808350 3370020 4212525 4493360 5392032 5616700 6740040 8425050 8986720 11233400 13480080 16850100 22466800 26960160 33700200 44933600 67400400 134800800