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135500800 = 210526779
BaseRepresentation
bin10000001001110…
…01010000000000
3100102222011011011
420010321100000
5234142011200
621240130304
73233511031
oct1004712000
9312864134
10135500800
116a539836
1239466994
13220c34b6
1413dd2a88
15bd685ba
hex8139400

135500800 has 132 divisors (see below), whose sum is σ = 345206080. Its totient is φ = 52715520.

The previous prime is 135500791. The next prime is 135500839. The reversal of 135500800 is 8005531.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1715161 + ... + 1715239.

Almost surely, 2135500800 is an apocalyptic number.

135500800 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 135500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172603040).

135500800 is an abundant number, since it is smaller than the sum of its proper divisors (209705280).

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

135500800 is an equidigital number, since it uses as much as digits as its factorization.

135500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 135500800 is about 11640.4810897145. The cubic root of 135500800 is about 513.6263389733.

The spelling of 135500800 in words is "one hundred thirty-five million, five hundred thousand, eight hundred".