125092800 has 504 divisors, whose sum is σ = 545384736. Its totient is φ = 26542080.

The previous prime is 125092771. The next prime is 125092823. The reversal of 125092800 is 8290521.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×125092800² = 31296417223680000, which contains 22 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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1713564 + ... + 1713636.

Almost surely, 2^125092800 is an apocalyptic number.

125092800 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 125092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272692368).

125092800 is an abundant number, since it is smaller than the sum of its proper divisors (420291936).

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

125092800 is a wasteful number, since it uses less digits than its factorization.

125092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 125092800 is about 11184.4892596846. The cubic root of 125092800 is about 500.1237027261.

The spelling of 125092800 in words is "one hundred twenty-five million, ninety-two thousand, eight hundred".