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136224 = 25321143
BaseRepresentation
bin100001010000100000
320220212100
4201100200
513324344
62530400
71105104
oct412040
9226770
10136224
1193390
1266a00
134a00a
1437904
152a569
hex21420

136224 has 72 divisors (see below), whose sum is σ = 432432. Its totient is φ = 40320.

The previous prime is 136223. The next prime is 136237. The reversal of 136224 is 422631.

Adding to 136224 its reverse (422631), we get a palindrome (558855).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 136197 and 136206.

It is not an unprimeable number, because it can be changed into a prime (136223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3147 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2136224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216).

136224 is an abundant number, since it is smaller than the sum of its proper divisors (296208).

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

136224 is a wasteful number, since it uses less digits than its factorization.

136224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 136224 is about 369.0853559815. The cubic root of 136224 is about 51.4538500067.

The spelling of 136224 in words is "one hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8514 11352 12384 15136 17028 22704 34056 45408 68112 136224