125410800 has 120 divisors (see below), whose sum is σ = 411692400. Its totient is φ = 32614400.

The previous prime is 125410783. The next prime is 125410823. The reversal of 125410800 is 8014521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×125410800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47926 + ... + 50474.

It is an arithmetic number, because the mean of its divisors is an integer number (3430770).

Almost surely, 2^125410800 is an apocalyptic number.

125410800 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 125410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205846200).

125410800 is an abundant number, since it is smaller than the sum of its proper divisors (286281600).

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

125410800 is a wasteful number, since it uses less digits than its factorization.

125410800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 125410800 is about 11198.6963527011. The cubic root of 125410800 is about 500.5471344028.

The spelling of 125410800 in words is "one hundred twenty-five million, four hundred ten thousand, eight hundred".