125530416 has 240 divisors, whose sum is σ = 417056640. Its totient is φ = 34836480.

The previous prime is 125530409. The next prime is 125530417. The reversal of 125530416 is 614035521.

125530416 is a `hidden beast` number, since 125 + 530 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×125530416² = 31515770682266112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125530416.

It is not an unprimeable number, because it can be changed into a prime (125530417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294080 + ... + 1294176.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^125530416 is an apocalyptic number.

125530416 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 125530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

125530416 is an abundant number, since it is smaller than the sum of its proper divisors (291526224).

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

125530416 is a wasteful number, since it uses less digits than its factorization.

125530416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125530416 is about 11204.0357014783. The cubic root of 125530416 is about 500.7062233608.

Adding to 125530416 its reverse (614035521), we get a palindrome (739565937).

It can be divided in two parts, 1255304 and 16, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 125530416 in words is "one hundred twenty-five million, five hundred thirty thousand, four hundred sixteen".