125420400 has 450 divisors, whose sum is σ = 530241360. Its totient is φ = 28304640.

The previous prime is 125420363. The next prime is 125420401. The reversal of 125420400 is 4024521.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125420401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587561 + ... + 1587639.

Almost surely, 2^125420400 is an apocalyptic number.

125420400 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 125420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265120680).

125420400 is an abundant number, since it is smaller than the sum of its proper divisors (404820960).

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

125420400 is a wasteful number, since it uses less digits than its factorization.

125420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 125420400 is about 11199.1249658176. The cubic root of 125420400 is about 500.5599061096.

Adding to 125420400 its reverse (4024521), we get a palindrome (129444921).

The spelling of 125420400 in words is "one hundred twenty-five million, four hundred twenty thousand, four hundred".