123135360 has 128 divisors (see below), whose sum is σ = 399513600. Its totient is φ = 32249856.

The previous prime is 123135349. The next prime is 123135373. The reversal of 123135360 is 63531321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123135360.

It is a congruent number.

It is an unprimeable number.

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, 112737 + ... + 113823.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^123135360 is an apocalyptic number.

123135360 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 123135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

123135360 is an abundant number, since it is smaller than the sum of its proper divisors (276378240).

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

123135360 is a wasteful number, since it uses less digits than its factorization.

123135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 123135360 is about 11096.6373284883. The cubic root of 123135360 is about 497.5013476054.

Adding to 123135360 its reverse (63531321), we get a palindrome (186666681).

The spelling of 123135360 in words is "one hundred twenty-three million, one hundred thirty-five thousand, three hundred sixty".