123633150 has 48 divisors (see below), whose sum is σ = 309515904. Its totient is φ = 32656480.

The previous prime is 123633149. The next prime is 123633151. The reversal of 123633150 is 51336321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123633149) and next prime (123633151).

It is a self number, because there is not a number n which added to its sum of digits gives 123633150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123633151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12199 + ... + 19901.

It is an arithmetic number, because the mean of its divisors is an integer number (6448248).

Almost surely, 2^123633150 is an apocalyptic number.

123633150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123633150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154757952).

123633150 is an abundant number, since it is smaller than the sum of its proper divisors (185882754).

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

123633150 is a wasteful number, since it uses less digits than its factorization.

123633150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7820 counting only the distinct ones).

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

The square root of 123633150 is about 11119.0444733349. The cubic root of 123633150 is about 498.1708499132.

Adding to 123633150 its reverse (51336321), we get a palindrome (174969471).

The spelling of 123633150 in words is "one hundred twenty-three million, six hundred thirty-three thousand, one hundred fifty".