123153240 has 128 divisors (see below), whose sum is σ = 424581120. Its totient is φ = 27993600.

The previous prime is 123153203. The next prime is 123153241. The reversal of 123153240 is 42351321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123153241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227370 + ... + 227910.

It is an arithmetic number, because the mean of its divisors is an integer number (3317040).

Almost surely, 2^123153240 is an apocalyptic number.

123153240 is a gapful number since it is divisible by the number (10) 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 123153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212290560).

123153240 is an abundant number, since it is smaller than the sum of its proper divisors (301427880).

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

123153240 is a wasteful number, since it uses less digits than its factorization.

123153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 123153240 is about 11097.4429487157. The cubic root of 123153240 is about 497.5254265095.

The spelling of 123153240 in words is "one hundred twenty-three million, one hundred fifty-three thousand, two hundred forty".