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135000 = 233354
BaseRepresentation
bin100000111101011000
320212012000
4200331120
513310000
62521000
71101405
oct407530
9225160
10135000
1192478
1266160
13495a8
14372ac
152a000
hex20f58

135000 has 80 divisors (see below), whose sum is σ = 468600. Its totient is φ = 36000.

The previous prime is 134999. The next prime is 135007. The reversal of 135000 is 531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26998 + ... + 27002.

2135000 is an apocalyptic number.

135000 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 135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234300).

135000 is an abundant number, since it is smaller than the sum of its proper divisors (333600).

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

135000 is an equidigital number, since it uses as much as digits as its factorization.

135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 135000 is about 367.4234614175. The cubic root of 135000 is about 51.2992784003.

Adding to 135000 its reverse (531), we get a palindrome (135531).

The spelling of 135000 in words is "one hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 16875 22500 27000 33750 45000 67500 135000