125616 has 20 divisors (see below), whose sum is σ = 324632. Its totient is φ = 41856.

The previous prime is 125597. The next prime is 125617. The reversal of 125616 is 616521.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 = 125592 and 125601.

It is not an unprimeable number, because it can be changed into a prime (125617) by changing a digit.

125616 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, 1261 + ... + 1356.

2¹²⁵⁶¹⁶ is an apocalyptic number.

125616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125616 is an abundant number, since it is smaller than the sum of its proper divisors (199016).

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

125616 is a wasteful number, since it uses less digits than its factorization.

125616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 125616 is about 354.4234755205. The cubic root of 125616 is about 50.0819987838.

It can be divided in two parts, 125 and 616, that added together give a triangular number (741 = T₃₈).

The spelling of 125616 in words is "one hundred twenty-five thousand, six hundred sixteen".