125355600 has 300 divisors, whose sum is σ = 464658876. Its totient is φ = 32348160.

The previous prime is 125355553. The next prime is 125355613. The reversal of 125355600 is 6553521.

125355600 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 55 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 125350416 = 72^2 + 11196^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

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 59 ways as a sum of consecutive naturals, for example, 1717164 + ... + 1717236.

Almost surely, 2^125355600 is an apocalyptic number.

125355600 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 125355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232329438).

125355600 is an abundant number, since it is smaller than the sum of its proper divisors (339303276).

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

125355600 is a wasteful number, since it uses less digits than its factorization.

125355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 125355600 is about 11196.2315088605. The cubic root of 125355600 is about 500.4736844377.

The spelling of 125355600 in words is "one hundred twenty-five million, three hundred fifty-five thousand, six hundred".