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136000 = 265317
BaseRepresentation
bin100001001101000000
320220120001
4201031000
513323000
62525344
71104334
oct411500
9226501
10136000
11931a7
1266854
1349b97
14377c4
152a46a
hex21340

136000 has 56 divisors (see below), whose sum is σ = 356616. Its totient is φ = 51200.

The previous prime is 135979. The next prime is 136013. The reversal of 136000 is 631.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 135424 = 24^2 + 368^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

136000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7992 + ... + 8008.

2136000 is an apocalyptic number.

136000 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 136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308).

136000 is an abundant number, since it is smaller than the sum of its proper divisors (220616).

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

136000 is an equidigital number, since it uses as much as digits as its factorization.

136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 136000 is about 368.7817782917. The cubic root of 136000 is about 51.4256318132.

Adding to 136000 its reverse (631), we get a palindrome (136631).

The spelling of 136000 in words is "one hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 136000