125000216 has 64 divisors (see below), whose sum is σ = 269222400. Its totient is φ = 53856000.

The previous prime is 125000209. The next prime is 125000263. The reversal of 125000216 is 612000521.

It is a junction number, because it is equal to n+sod(n) for n = 125000194 and 125000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305420 + ... + 305828.

It is an arithmetic number, because the mean of its divisors is an integer number (4206600).

Almost surely, 2^125000216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611200).

125000216 is an abundant number, since it is smaller than the sum of its proper divisors (144222184).

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

125000216 is a wasteful number, since it uses less digits than its factorization.

125000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 125000216 is about 11180.3495473084. The cubic root of 125000216 is about 500.0002879998. Note that the first 3 decimals are identical.

Adding to 125000216 its reverse (612000521), we get a palindrome (737000737).

It can be divided in two parts, 125000 and 216, that multiplied together give a cube (27000000 = 300³).

The spelling of 125000216 in words is "one hundred twenty-five million, two hundred sixteen", and thus it is an aban number.