125218000 has 80 divisors (see below), whose sum is σ = 305654544. Its totient is φ = 49612800.

The previous prime is 125217997. The next prime is 125218013. The reversal of 125218000 is 812521.

It can be written as a sum of positive squares in 8 ways, for example, as 15303744 + 109914256 = 3912^2 + 10484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 273772 + ... + 274228.

Almost surely, 2^125218000 is an apocalyptic number.

125218000 is a gapful number since it is divisible by the number (10) 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 125218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152827272).

125218000 is an abundant number, since it is smaller than the sum of its proper divisors (180436544).

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

125218000 is a wasteful number, since it uses less digits than its factorization.

125218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 125218000 is about 11190.0848969076. The cubic root of 125218000 is about 500.2904978560.

The spelling of 125218000 in words is "one hundred twenty-five million, two hundred eighteen thousand".