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136500 = 22353713
BaseRepresentation
bin100001010100110100
320221020120
4201110310
513332000
62531540
71105650
oct412464
9227216
10136500
1193611
1266bb0
134a190
1437a60
152a6a0
hex21534

136500 has 96 divisors (see below), whose sum is σ = 489216. Its totient is φ = 28800.

The previous prime is 136483. The next prime is 136501. The reversal of 136500 is 5631.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 136500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136501) by changing a digit.

136500 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 (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10494 + ... + 10506.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2136500 is an apocalyptic number.

136500 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 136500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244608).

136500 is an abundant number, since it is smaller than the sum of its proper divisors (352716).

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

136500 is a wasteful number, since it uses less digits than its factorization.

136500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 136500 is about 369.4590640382. The cubic root of 136500 is about 51.4885763458.

It can be divided in two parts, 136 and 500, that added together give a palindrome (636).

The spelling of 136500 in words is "one hundred thirty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 125 130 140 150 156 175 182 195 210 250 260 273 300 325 350 364 375 390 420 455 500 525 546 650 700 750 780 875 910 975 1050 1092 1300 1365 1500 1625 1750 1820 1950 2100 2275 2625 2730 3250 3500 3900 4550 4875 5250 5460 6500 6825 9100 9750 10500 11375 13650 19500 22750 27300 34125 45500 68250 136500