125819216 has 20 divisors (see below), whose sum is σ = 256605600. Its totient is φ = 59598432.

The previous prime is 125819207. The next prime is 125819219. The reversal of 125819216 is 612918521.

It is a super-3 number, since 3×125819216³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125819219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206636 + ... + 207243.

It is an arithmetic number, because the mean of its divisors is an integer number (12830280).

Almost surely, 2^125819216 is an apocalyptic number.

125819216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125819216 is an abundant number, since it is smaller than the sum of its proper divisors (130786384).

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

125819216 is a wasteful number, since it uses less digits than its factorization.

125819216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413906 (or 413900 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 125819216 is about 11216.9165103428. The cubic root of 125819216 is about 501.0899104641.

The spelling of 125819216 in words is "one hundred twenty-five million, eight hundred nineteen thousand, two hundred sixteen".