125416 has 16 divisors (see below), whose sum is σ = 239940. Its totient is φ = 61440.

The previous prime is 125407. The next prime is 125423. The reversal of 125416 is 614521.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 100 = 354^2 + 10^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 125393 and 125402.

It is an unprimeable number.

125416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360 + ... + 616.

2¹²⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

125416 is a deficient number, since it is larger than the sum of its proper divisors (114524).

125416 is a wasteful number, since it uses less digits than its factorization.

125416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 125416 is about 354.1412147717. The cubic root of 125416 is about 50.0554052492.

Adding to 125416 its reverse (614521), we get a palindrome (739937).

The spelling of 125416 in words is "one hundred twenty-five thousand, four hundred sixteen".