125483600 has 180 divisors, whose sum is σ = 351495360. Its totient is φ = 42681600.

The previous prime is 125483593. The next prime is 125483623. The reversal of 125483600 is 6384521.

It is a super-2 number, since 2×125483600² = 31492267737920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1588361 + ... + 1588439.

It is an arithmetic number, because the mean of its divisors is an integer number (1952752).

Almost surely, 2^125483600 is an apocalyptic number.

125483600 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 125483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175747680).

125483600 is an abundant number, since it is smaller than the sum of its proper divisors (226011760).

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

125483600 is a wasteful number, since it uses less digits than its factorization.

125483600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 125483600 is about 11201.9462594676. The cubic root of 125483600 is about 500.6439702486.

The spelling of 125483600 in words is "one hundred twenty-five million, four hundred eighty-three thousand, six hundred".