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134810000 = 2454131761
BaseRepresentation
bin10000000100100…
…00100110010000
3100101200001112222
420002100212100
5234002410000
621213240212
73224603033
oct1002204620
9311601488
10134810000
116a107826
1239193068
1321c10c40
1413c9301a
15bc7da85
hex8090990

134810000 has 200 divisors, whose sum is σ = 378272664. Its totient is φ = 46080000.

The previous prime is 134809999. The next prime is 134810003. The reversal of 134810000 is 18431.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 127148176 + 7661824 = 11276^2 + 2768^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1348100002 = 36347472200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (134810003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2209970 + ... + 2210030.

Almost surely, 2134810000 is an apocalyptic number.

134810000 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 134810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189136332).

134810000 is an abundant number, since it is smaller than the sum of its proper divisors (243462664).

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

134810000 is a wasteful number, since it uses less digits than its factorization.

134810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 134810000 is about 11610.7708615750. The cubic root of 134810000 is about 512.7520077295.

Adding to 134810000 its reverse (18431), we get a palindrome (134828431).

The spelling of 134810000 in words is "one hundred thirty-four million, eight hundred ten thousand".