123257344 has 120 divisors (see below), whose sum is σ = 304383420. Its totient is φ = 49717248.

The previous prime is 123257341. The next prime is 123257369. The reversal of 123257344 is 443752321.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 313600 = 11088^2 + 560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123257341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7250424 + ... + 7250440.

Almost surely, 2^123257344 is an apocalyptic number.

123257344 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 123257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152191710).

123257344 is an abundant number, since it is smaller than the sum of its proper divisors (181126076).

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

123257344 is an frugal number, since it uses more digits than its factorization.

123257344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 26 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 123257344 is about 11102.1324077855. The cubic root of 123257344 is about 497.6655765631.

The spelling of 123257344 in words is "one hundred twenty-three million, two hundred fifty-seven thousand, three hundred forty-four".