124909344 has 192 divisors, whose sum is σ = 438681600. Its totient is φ = 33778944.

The previous prime is 124909331. The next prime is 124909361. The reversal of 124909344 is 443909421.

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

It is a junction number, because it is equal to n+sod(n) for n = 124909299 and 124909308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114369 + ... + 115455.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2^124909344 is an apocalyptic number.

124909344 is a gapful number since it is divisible by the number (14) 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 124909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800).

124909344 is an abundant number, since it is smaller than the sum of its proper divisors (313772256).

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

124909344 is a wasteful number, since it uses less digits than its factorization.

124909344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 124909344 is about 11176.2848925750. The cubic root of 124909344 is about 499.8790961002.

The spelling of 124909344 in words is "one hundred twenty-four million, nine hundred nine thousand, three hundred forty-four".