125605200 has 240 divisors, whose sum is σ = 484651520. Its totient is φ = 27164160.

The previous prime is 125605199. The next prime is 125605213. The reversal of 125605200 is 2506521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159207 + ... + 159993.

Almost surely, 2^125605200 is an apocalyptic number.

125605200 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 125605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242325760).

125605200 is an abundant number, since it is smaller than the sum of its proper divisors (359046320).

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

125605200 is a wasteful number, since it uses less digits than its factorization.

125605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 125605200 is about 11207.3725734447. The cubic root of 125605200 is about 500.8056345421.

The spelling of 125605200 in words is "one hundred twenty-five million, six hundred five thousand, two hundred".