125721600 has 132 divisors (see below), whose sum is σ = 415770264. Its totient is φ = 33505280.

The previous prime is 125721599. The next prime is 125721619. The reversal of 125721600 is 6127521.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 75982 + ... + 77618.

Almost surely, 2^125721600 is an apocalyptic number.

125721600 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 125721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207885132).

125721600 is an abundant number, since it is smaller than the sum of its proper divisors (290048664).

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

125721600 is a wasteful number, since it uses less digits than its factorization.

125721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 125721600 is about 11212.5643810861. The cubic root of 125721600 is about 500.9602878471.

The spelling of 125721600 in words is "one hundred twenty-five million, seven hundred twenty-one thousand, six hundred".