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134332300 = 225217312549
BaseRepresentation
bin10000000000110…
…11111110001100
3100100202210021101
420000123332030
5233342113200
621155112444
73220543234
oct1000337614
9310683241
10134332300
1169910933
1238ba2724
1321aa468b
1413baacc4
15bbd726a
hex801bf8c

134332300 has 72 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 48921600.

The previous prime is 134332279. The next prime is 134332307. The reversal of 134332300 is 3233431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134332307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51426 + ... + 53974.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2134332300 is an apocalyptic number.

134332300 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 134332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

134332300 is an abundant number, since it is smaller than the sum of its proper divisors (184397300).

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

134332300 is a wasteful number, since it uses less digits than its factorization.

134332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 134332300 is about 11590.1811892653. The cubic root of 134332300 is about 512.1456443975.

Adding to 134332300 its reverse (3233431), we get a palindrome (137565731).

The spelling of 134332300 in words is "one hundred thirty-four million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1700 2108 2549 2635 3100 5098 5270 10196 10540 12745 13175 25490 26350 43333 50980 52700 63725 79019 86666 127450 158038 173332 216665 254900 316076 395095 433330 790190 866660 1083325 1343323 1580380 1975475 2166650 2686646 3950950 4333300 5373292 6716615 7901900 13433230 26866460 33583075 67166150 134332300