125448400 has 120 divisors (see below), whose sum is σ = 375850944. Its totient is φ = 39091200.

The previous prime is 125448373. The next prime is 125448467. The reversal of 125448400 is 4844521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28764 + ... + 32836.

Almost surely, 2^125448400 is an apocalyptic number.

125448400 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 125448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187925472).

125448400 is an abundant number, since it is smaller than the sum of its proper divisors (250402544).

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

125448400 is a wasteful number, since it uses less digits than its factorization.

125448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 125448400 is about 11200.3749937223. The cubic root of 125448400 is about 500.5971531989.

The spelling of 125448400 in words is "one hundred twenty-five million, four hundred forty-eight thousand, four hundred".