125440416 has 72 divisors (see below), whose sum is σ = 377719524. Its totient is φ = 39352320.

The previous prime is 125440369. The next prime is 125440423. The reversal of 125440416 is 614044521.

125440416 is a `hidden beast` number, since 1 + 254 + 404 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 90000 = 11196^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 125440416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7915 + ... + 17706.

Almost surely, 2^125440416 is an apocalyptic number.

125440416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125440416 is an abundant number, since it is smaller than the sum of its proper divisors (252279108).

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

125440416 is a wasteful number, since it uses less digits than its factorization.

125440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25654 (or 25643 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 125440416 is about 11200.0185714132. The cubic root of 125440416 is about 500.5865330223.

Adding to 125440416 its reverse (614044521), we get a palindrome (739484937).

The spelling of 125440416 in words is "one hundred twenty-five million, four hundred forty thousand, four hundred sixteen".