123393144 has 256 divisors, whose sum is σ = 405504000. Its totient is φ = 30481920.

The previous prime is 123393143. The next prime is 123393161. The reversal of 123393144 is 441393321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123393143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869587 + ... + 2869629.

It is an arithmetic number, because the mean of its divisors is an integer number (1584000).

Almost surely, 2^123393144 is an apocalyptic number.

123393144 is a gapful number since it is divisible by the number (14) 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 123393144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202752000).

123393144 is an abundant number, since it is smaller than the sum of its proper divisors (282110856).

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

123393144 is a wasteful number, since it uses less digits than its factorization.

123393144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 123393144 is about 11108.2466663286. The cubic root of 123393144 is about 497.8482788082.

The spelling of 123393144 in words is "one hundred twenty-three million, three hundred ninety-three thousand, one hundred forty-four".