123643152 has 80 divisors (see below), whose sum is σ = 357358080. Its totient is φ = 40929408.

The previous prime is 123643151. The next prime is 123643181. The reversal of 123643152 is 251346321.

123643152 is a `hidden beast` number, since 1 + 2 + 3 + 643 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123643151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66913 + ... + 68735.

It is an arithmetic number, because the mean of its divisors is an integer number (4466976).

Almost surely, 2^123643152 is an apocalyptic number.

123643152 is a gapful number since it is divisible by the number (12) 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 123643152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178679040).

123643152 is an abundant number, since it is smaller than the sum of its proper divisors (233714928).

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

123643152 is a wasteful number, since it uses less digits than its factorization.

123643152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1985 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 123643152 is about 11119.4942331025. The cubic root of 123643152 is about 498.1842836632.

Adding to 123643152 its reverse (251346321), we get a palindrome (374989473).

The spelling of 123643152 in words is "one hundred twenty-three million, six hundred forty-three thousand, one hundred fifty-two".