123752448 has 130 divisors (see below), whose sum is σ = 370675514. Its totient is φ = 41140224.

The previous prime is 123752429. The next prime is 123752449. The reversal of 123752448 is 844257321.

It is a happy number.

123752448 is a `hidden beast` number, since 123 + 7 + 524 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 16257024 = 10368^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123752449) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 331590 + ... + 331962.

Almost surely, 2^123752448 is an apocalyptic number.

123752448 is a gapful number since it is divisible by the number (18) 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 123752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185337757).

123752448 is an abundant number, since it is smaller than the sum of its proper divisors (246923066).

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

123752448 is an frugal number, since it uses more digits than its factorization.

123752448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 378 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 123752448 is about 11124.4077595169. The cubic root of 123752448 is about 498.3310326276.

The spelling of 123752448 in words is "one hundred twenty-three million, seven hundred fifty-two thousand, four hundred forty-eight".