125188900 has 36 divisors (see below), whose sum is σ = 274951152. Its totient is φ = 49468960.

The previous prime is 125188859. The next prime is 125188907. The reversal of 125188900 is 9881521.

It is not an unprimeable number, because it can be changed into a prime (125188907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (7637532).

Almost surely, 2^125188900 is an apocalyptic number.

125188900 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 125188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137475576).

125188900 is an abundant number, since it is smaller than the sum of its proper divisors (149762252).

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

125188900 is a wasteful number, since it uses less digits than its factorization.

125188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 125188900 is about 11188.7845631239. The cubic root of 125188900 is about 500.2517398994.

The spelling of 125188900 in words is "one hundred twenty-five million, one hundred eighty-eight thousand, nine hundred".