125582400 has 504 divisors, whose sum is σ = 515904480. Its totient is φ = 29859840.

The previous prime is 125582399. The next prime is 125582459. The reversal of 125582400 is 4285521.

It is a happy number.

125582400 is a `hidden beast` number, since 1 + 255 + 8 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6609591 + ... + 6609609.

It is an arithmetic number, because the mean of its divisors is an integer number (1023620).

Almost surely, 2^125582400 is an apocalyptic number.

125582400 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 125582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257952240).

125582400 is an abundant number, since it is smaller than the sum of its proper divisors (390322080).

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

125582400 is a wasteful number, since it uses less digits than its factorization.

125582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 125582400 is about 11206.3553397168. The cubic root of 125582400 is about 500.7753304373.

The spelling of 125582400 in words is "one hundred twenty-five million, five hundred eighty-two thousand, four hundred".