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144536 = 2372989
BaseRepresentation
bin100011010010011000
321100021012
4203102120
514111121
63033052
71141250
oct432230
9240235
10144536
1199657
126b788
1350a32
143a960
152cc5b
hex23498

144536 has 32 divisors (see below), whose sum is σ = 324000. Its totient is φ = 59136.

The previous prime is 144511. The next prime is 144539. The reversal of 144536 is 635441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144539) by changing a digit.

144536 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 7 ways as a sum of consecutive naturals, for example, 1580 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2144536 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 144536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000).

144536 is an abundant number, since it is smaller than the sum of its proper divisors (179464).

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

144536 is a wasteful number, since it uses less digits than its factorization.

144536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 144536 is about 380.1789052538. The cubic root of 144536 is about 52.4797805736.

Adding to 144536 its reverse (635441), we get a palindrome (779977).

It can be divided in two parts, 14 and 4536, that multiplied together give a square (63504 = 2522).

The spelling of 144536 in words is "one hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 89 116 178 203 232 356 406 623 712 812 1246 1624 2492 2581 4984 5162 10324 18067 20648 36134 72268 144536