125666600 has 48 divisors (see below), whose sum is σ = 294205500. Its totient is φ = 49917440.

The previous prime is 125666587. The next prime is 125666609. The reversal of 125666600 is 6666521.

It can be written as a sum of positive squares in 6 ways, for example, as 45778756 + 79887844 = 6766^2 + 8938^2 .

It is not an unprimeable number, because it can be changed into a prime (125666609) 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, 27692 + ... + 31908.

Almost surely, 2^125666600 is an apocalyptic number.

125666600 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 125666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147102750).

125666600 is an abundant number, since it is smaller than the sum of its proper divisors (168538900).

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

125666600 is a wasteful number, since it uses less digits than its factorization.

125666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 125666600 is about 11210.1115070279. Note that the first 3 decimals coincide. The cubic root of 125666600 is about 500.8872247334.

The spelling of 125666600 in words is "one hundred twenty-five million, six hundred sixty-six thousand, six hundred".