125116824 has 96 divisors (see below), whose sum is σ = 377464320. Its totient is φ = 33849792.

The previous prime is 125116813. The next prime is 125116853. The reversal of 125116824 is 428611521.

It is a junction number, because it is equal to n+sod(n) for n = 125116791 and 125116800.

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 23 ways as a sum of consecutive naturals, for example, 59617 + ... + 61679.

It is an arithmetic number, because the mean of its divisors is an integer number (3931920).

Almost surely, 2^125116824 is an apocalyptic number.

125116824 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 125116824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732160).

125116824 is an abundant number, since it is smaller than the sum of its proper divisors (252347496).

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

125116824 is a wasteful number, since it uses less digits than its factorization.

125116824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2094 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 125116824 is about 11185.5631954766. The cubic root of 125116824 is about 500.1557168328.

The spelling of 125116824 in words is "one hundred twenty-five million, one hundred sixteen thousand, eight hundred twenty-four".