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134332200 = 233252372017
BaseRepresentation
bin10000000000110…
…11111100101000
3100100202210010200
420000123330220
5233342112300
621155112200
73220543032
oct1000337450
9310683120
10134332200
1169910852
1238ba2660
1321aa4612
1413baac52
15bbd7200
hex801bf28

134332200 has 144 divisors (see below), whose sum is σ = 463554780. Its totient is φ = 34836480.

The previous prime is 134332169. The next prime is 134332201. The reversal of 134332200 is 2233431.

134332200 is a `hidden beast` number, since 1 + 343 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 102454884 + 31877316 = 10122^2 + 5646^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134332201) 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 35 ways as a sum of consecutive naturals, for example, 65592 + ... + 67608.

Almost surely, 2134332200 is an apocalyptic number.

134332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231777390).

134332200 is an abundant number, since it is smaller than the sum of its proper divisors (329222580).

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

134332200 is a wasteful number, since it uses less digits than its factorization.

134332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 134332200 is about 11590.1768752681. The cubic root of 134332200 is about 512.1455173132.

Adding to 134332200 its reverse (2233431), we get a palindrome (136565631).

The spelling of 134332200 in words is "one hundred thirty-four million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2017 2220 2664 2775 3330 3700 4034 4440 5550 6051 6660 7400 8068 8325 10085 11100 12102 13320 16136 16650 18153 20170 22200 24204 30255 33300 36306 40340 48408 50425 60510 66600 72612 74629 80680 90765 100850 121020 145224 149258 151275 181530 201700 223887 242040 298516 302550 363060 373145 403400 447774 453825 597032 605100 671661 726120 746290 895548 907650 1119435 1210200 1343322 1492580 1791096 1815300 1865725 2238870 2686644 2985160 3358305 3630600 3731450 4477740 5373288 5597175 6716610 7462900 8955480 11194350 13433220 14925800 16791525 22388700 26866440 33583050 44777400 67166100 134332200