125384416 has 24 divisors (see below), whose sum is σ = 253524600. Its totient is φ = 60997248.

The previous prime is 125384377. The next prime is 125384417. The reversal of 125384416 is 614483521.

It is a super-2 number, since 2×125384416² = 31442503551322112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125384417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51766 + ... + 54133.

It is an arithmetic number, because the mean of its divisors is an integer number (10563525).

Almost surely, 2^125384416 is an apocalyptic number.

125384416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125384416 is an abundant number, since it is smaller than the sum of its proper divisors (128140184).

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

125384416 is a wasteful number, since it uses less digits than its factorization.

125384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105946 (or 105938 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 125384416 is about 11197.5182964798. The cubic root of 125384416 is about 500.5120301380.

The spelling of 125384416 in words is "one hundred twenty-five million, three hundred eighty-four thousand, four hundred sixteen".