125204000 has 96 divisors (see below), whose sum is σ = 311468976. Its totient is φ = 49459200.

The previous prime is 125203999. The next prime is 125204029. The reversal of 125204000 is 402521.

It can be written as a sum of positive squares in 8 ways, for example, as 12759184 + 112444816 = 3572^2 + 10604^2 .

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, 451862 + ... + 452138.

Almost surely, 2^125204000 is an apocalyptic number.

125204000 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 125204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155734488).

125204000 is an abundant number, since it is smaller than the sum of its proper divisors (186264976).

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

125204000 is a wasteful number, since it uses less digits than its factorization.

125204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 125204000 is about 11189.4593256332. The cubic root of 125204000 is about 500.2718521660.

Adding to 125204000 its reverse (402521), we get a palindrome (125606521).

The spelling of 125204000 in words is "one hundred twenty-five million, two hundred four thousand".