125405200 has 120 divisors (see below), whose sum is σ = 322711488. Its totient is φ = 46717440.

The previous prime is 125405171. The next prime is 125405201. The reversal of 125405200 is 2504521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125405201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395442 + ... + 395758.

Almost surely, 2^125405200 is an apocalyptic number.

125405200 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 125405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161355744).

125405200 is an abundant number, since it is smaller than the sum of its proper divisors (197306288).

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

125405200 is a wasteful number, since it uses less digits than its factorization.

125405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 125405200 is about 11198.4463208072. The cubic root of 125405200 is about 500.5396839396.

Adding to 125405200 its reverse (2504521), we get a palindrome (127909721).

The spelling of 125405200 in words is "one hundred twenty-five million, four hundred five thousand, two hundred".