125414400 has 264 divisors, whose sum is σ = 438614784. Its totient is φ = 31539200.

The previous prime is 125414363. The next prime is 125414441. The reversal of 125414400 is 4414521.

It is a happy number.

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, 1766365 + ... + 1766435.

Almost surely, 2^125414400 is an apocalyptic number.

125414400 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 125414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219307392).

125414400 is an abundant number, since it is smaller than the sum of its proper divisors (313200384).

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

125414400 is a wasteful number, since it uses less digits than its factorization.

125414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 125414400 is about 11198.8570845422. The cubic root of 125414400 is about 500.5519238692.

Adding to 125414400 its reverse (4414521), we get a palindrome (129828921).

The spelling of 125414400 in words is "one hundred twenty-five million, four hundred fourteen thousand, four hundred".