123536 has 20 divisors (see below), whose sum is σ = 273792. Its totient is φ = 52896.

The previous prime is 123527. The next prime is 123547. The reversal of 123536 is 635321.

123536 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×123536² = 30522286592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

123536 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 3 ways as a sum of consecutive naturals, for example, 440 + ... + 663.

2¹²³⁵³⁶ is an apocalyptic number.

123536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123536 is an abundant number, since it is smaller than the sum of its proper divisors (150256).

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

123536 is a wasteful number, since it uses less digits than its factorization.

123536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 123536 is about 351.4768840194. The cubic root of 123536 is about 49.8040329417.

Adding to 123536 its reverse (635321), we get a palindrome (758857).

The spelling of 123536 in words is "one hundred twenty-three thousand, five hundred thirty-six".