125413200 has 180 divisors, whose sum is σ = 474933888. Its totient is φ = 30393600.

The previous prime is 125413177. The next prime is 125413231. The reversal of 125413200 is 2314521.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38017 + ... + 41183.

Almost surely, 2^125413200 is an apocalyptic number.

125413200 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 125413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237466944).

125413200 is an abundant number, since it is smaller than the sum of its proper divisors (349520688).

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

125413200 is a wasteful number, since it uses less digits than its factorization.

125413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125413200 is about 11198.8035075181. The cubic root of 125413200 is about 500.5503273906.

Adding to 125413200 its reverse (2314521), we get a palindrome (127727721).

The spelling of 125413200 in words is "one hundred twenty-five million, four hundred thirteen thousand, two hundred".