123864144 has 40 divisors (see below), whose sum is σ = 321631200. Its totient is φ = 41075328.

The previous prime is 123864121. The next prime is 123864149. The reversal of 123864144 is 441468321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123864149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2907 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (8040780).

Almost surely, 2^123864144 is an apocalyptic number.

It is an amenable number.

123864144 is an abundant number, since it is smaller than the sum of its proper divisors (197767056).

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

123864144 is a wasteful number, since it uses less digits than its factorization.

123864144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307 (or 13301 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 123864144 is about 11129.4269394250. The cubic root of 123864144 is about 498.4809147674.

The spelling of 123864144 in words is "one hundred twenty-three million, eight hundred sixty-four thousand, one hundred forty-four".