125630400 has 168 divisors, whose sum is σ = 471180160. Its totient is φ = 28707840.

The previous prime is 125630399. The next prime is 125630431. The reversal of 125630400 is 4036521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31731 + ... + 35469.

Almost surely, 2^125630400 is an apocalyptic number.

125630400 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 125630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235590080).

125630400 is an abundant number, since it is smaller than the sum of its proper divisors (345549760).

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

125630400 is a wasteful number, since it uses less digits than its factorization.

125630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 125630400 is about 11208.4967769991. The cubic root of 125630400 is about 500.8391242864.

Adding to 125630400 its reverse (4036521), we get a palindrome (129666921).

The spelling of 125630400 in words is "one hundred twenty-five million, six hundred thirty thousand, four hundred".