125514400 has 144 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 42905600.

The previous prime is 125514391. The next prime is 125514419. The reversal of 125514400 is 4415521.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 149181 + ... + 150019.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^125514400 is an apocalyptic number.

125514400 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 125514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

125514400 is an abundant number, since it is smaller than the sum of its proper divisors (228837920).

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

125514400 is a wasteful number, since it uses less digits than its factorization.

125514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 125514400 is about 11203.3209362224. The cubic root of 125514400 is about 500.6849279856.

Adding to 125514400 its reverse (4415521), we get a palindrome (129929921).

The spelling of 125514400 in words is "one hundred twenty-five million, five hundred fourteen thousand, four hundred".