125304000 has 224 divisors, whose sum is σ = 433645056. Its totient is φ = 31820800.

The previous prime is 125303987. The next prime is 125304013. The reversal of 125304000 is 403521.

It is an interprime number because it is at equal distance from previous prime (125303987) and next prime (125304013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551887 + ... + 552113.

Almost surely, 2^125304000 is an apocalyptic number.

125304000 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 125304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528).

125304000 is an abundant number, since it is smaller than the sum of its proper divisors (308341056).

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

125304000 is a wasteful number, since it uses less digits than its factorization.

125304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 125304000 is about 11193.9269248999. The cubic root of 125304000 is about 500.4050051864.

Adding to 125304000 its reverse (403521), we get a palindrome (125707521).

The spelling of 125304000 in words is "one hundred twenty-five million, three hundred four thousand".