125344800 has 288 divisors, whose sum is σ = 518716800. Its totient is φ = 28615680.

The previous prime is 125344787. The next prime is 125344801. The reversal of 125344800 is 8443521.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125344800² = 31422637774080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125344801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150786 + ... + 151614.

It is an arithmetic number, because the mean of its divisors is an integer number (1801100).

Almost surely, 2^125344800 is an apocalyptic number.

125344800 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 125344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259358400).

125344800 is an abundant number, since it is smaller than the sum of its proper divisors (393372000).

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

125344800 is a wasteful number, since it uses less digits than its factorization.

125344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 125344800 is about 11195.7491933323. The cubic root of 125344800 is about 500.4593112704.

The spelling of 125344800 in words is "one hundred twenty-five million, three hundred forty-four thousand, eight hundred".