125209800 has 240 divisors, whose sum is σ = 445618800. Its totient is φ = 32572800.

The previous prime is 125209789. The next prime is 125209823. The reversal of 125209800 is 8902521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 955735 + ... + 955865.

It is an arithmetic number, because the mean of its divisors is an integer number (1856745).

Almost surely, 2^125209800 is an apocalyptic number.

125209800 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 125209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222809400).

125209800 is an abundant number, since it is smaller than the sum of its proper divisors (320409000).

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

125209800 is a wasteful number, since it uses less digits than its factorization.

125209800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 125209800 is about 11189.7184951186. The cubic root of 125209800 is about 500.2795769776.

The spelling of 125209800 in words is "one hundred twenty-five million, two hundred nine thousand, eight hundred".