125314400 has 108 divisors (see below), whose sum is σ = 318049956. Its totient is φ = 48211200.

The previous prime is 125314393. The next prime is 125314433. The reversal of 125314400 is 4413521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 768719 + ... + 768881.

It is an arithmetic number, because the mean of its divisors is an integer number (2944907).

Almost surely, 2^125314400 is an apocalyptic number.

125314400 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 125314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159024978).

125314400 is an abundant number, since it is smaller than the sum of its proper divisors (192735556).

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

125314400 is a wasteful number, since it uses less digits than its factorization.

125314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 125314400 is about 11194.3914528660. The cubic root of 125314400 is about 500.4188490330.

Adding to 125314400 its reverse (4413521), we get a palindrome (129727921).

The spelling of 125314400 in words is "one hundred twenty-five million, three hundred fourteen thousand, four hundred".