125046400 has 96 divisors (see below), whose sum is σ = 322524000. Its totient is φ = 47815680.

The previous prime is 125046371. The next prime is 125046409. The reversal of 125046400 is 4640521.

It is not an unprimeable number, because it can be changed into a prime (125046409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72751 + ... + 74449.

It is an arithmetic number, because the mean of its divisors is an integer number (3359625).

Almost surely, 2^125046400 is an apocalyptic number.

125046400 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 125046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161262000).

125046400 is an abundant number, since it is smaller than the sum of its proper divisors (197477600).

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

125046400 is a wasteful number, since it uses less digits than its factorization.

125046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 125046400 is about 11182.4147660512. The cubic root of 125046400 is about 500.0618590133.

Adding to 125046400 its reverse (4640521), we get a palindrome (129686921).

The spelling of 125046400 in words is "one hundred twenty-five million, forty-six thousand, four hundred".