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134828500 = 2253416577
BaseRepresentation
bin10000000100101…
…01000111010100
3100101200222221011
420002111013110
5234004003000
621213502004
73225011002
oct1002250724
9311628834
10134828500
116a11a714
12391a1904
1321c194a1
1413c99a72
15bc842ba
hex80951d4

134828500 has 48 divisors (see below), whose sum is σ = 301693392. Its totient is φ = 52608000.

The previous prime is 134828497. The next prime is 134828509. The reversal of 134828500 is 5828431.

134828500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36144144 + 98684356 = 6012^2 + 9934^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134828509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17212 + ... + 23788.

It is an arithmetic number, because the mean of its divisors is an integer number (6285279).

Almost surely, 2134828500 is an apocalyptic number.

134828500 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 134828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150846696).

134828500 is an abundant number, since it is smaller than the sum of its proper divisors (166864892).

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

134828500 is a wasteful number, since it uses less digits than its factorization.

134828500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 134828500 is about 11611.5675083083. The cubic root of 134828500 is about 512.7754616727.

The spelling of 134828500 in words is "one hundred thirty-four million, eight hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 5125 6577 10250 13154 20500 26308 32885 65770 131540 164425 269657 328850 539314 657700 822125 1078628 1348285 1644250 2696570 3288500 5393140 6741425 13482850 26965700 33707125 67414250 134828500