124149168 has 120 divisors (see below), whose sum is σ = 408255120. Its totient is φ = 34721280.

The previous prime is 124149139. The next prime is 124149169. The reversal of 124149168 is 861941421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124149169) 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, 17578 + ... + 23606.

It is an arithmetic number, because the mean of its divisors is an integer number (3402126).

Almost surely, 2^124149168 is an apocalyptic number.

124149168 is a gapful number since it is divisible by the number (18) 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 124149168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204127560).

124149168 is an abundant number, since it is smaller than the sum of its proper divisors (284105952).

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

124149168 is a wasteful number, since it uses less digits than its factorization.

124149168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6058 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 124149168 is about 11142.2245534723. The cubic root of 124149168 is about 498.8629736354.

The spelling of 124149168 in words is "one hundred twenty-four million, one hundred forty-nine thousand, one hundred sixty-eight".