125131200 has 168 divisors, whose sum is σ = 415747200. Its totient is φ = 32947200.

The previous prime is 125131199. The next prime is 125131211. The reversal of 125131200 is 2131521.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 125131200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628701 + ... + 628899.

Almost surely, 2^125131200 is an apocalyptic number.

125131200 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 125131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207873600).

125131200 is an abundant number, since it is smaller than the sum of its proper divisors (290616000).

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

125131200 is a wasteful number, since it uses less digits than its factorization.

125131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 125131200 is about 11186.2057910625. The cubic root of 125131200 is about 500.1748721657.

Adding to 125131200 its reverse (2131521), we get a palindrome (127262721).

The spelling of 125131200 in words is "one hundred twenty-five million, one hundred thirty-one thousand, two hundred".