123753240 has 192 divisors, whose sum is σ = 447632640. Its totient is φ = 29445120.

The previous prime is 123753239. The next prime is 123753241. The reversal of 123753240 is 42357321.

123753240 is a `hidden beast` number, since 123 + 7 + 532 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123753239) and next prime (123753241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123753241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144654 + ... + 145506.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 2^123753240 is an apocalyptic number.

123753240 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 123753240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223816320).

123753240 is an abundant number, since it is smaller than the sum of its proper divisors (323879400).

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

123753240 is a wasteful number, since it uses less digits than its factorization.

123753240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 123753240 is about 11124.4433568606. The cubic root of 123753240 is about 498.3320957105.

The spelling of 123753240 in words is "one hundred twenty-three million, seven hundred fifty-three thousand, two hundred forty".