125820016 has 40 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 53413824.

The previous prime is 125820007. The next prime is 125820029. The reversal of 125820016 is 610028521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6735 + ... + 17233.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^125820016 is an apocalyptic number.

125820016 is a gapful number since it is divisible by the number (16) 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 125820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

125820016 is an abundant number, since it is smaller than the sum of its proper divisors (155411984).

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

125820016 is a wasteful number, since it uses less digits than its factorization.

125820016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10621 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 125820016 is about 11216.9521707102. The cubic root of 125820016 is about 501.0909724934.

Adding to 125820016 its reverse (610028521), we get a palindrome (735848537).

The spelling of 125820016 in words is "one hundred twenty-five million, eight hundred twenty thousand, sixteen".