125445600 has 432 divisors, whose sum is σ = 536215680. Its totient is φ = 26956800.

The previous prime is 125445583. The next prime is 125445637. The reversal of 125445600 is 6544521.

125445600 is a `hidden beast` number, since 1 + 2 + 54 + 4 + 5 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957535 + ... + 957665.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^125445600 is an apocalyptic number.

125445600 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 125445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

125445600 is an abundant number, since it is smaller than the sum of its proper divisors (410770080).

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

125445600 is a wasteful number, since it uses less digits than its factorization.

125445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125445600 is about 11200.2499972099. The cubic root of 125445600 is about 500.5934287394.

The spelling of 125445600 in words is "one hundred twenty-five million, four hundred forty-five thousand, six hundred".