125187200 has 192 divisors, whose sum is σ = 341496000. Its totient is φ = 45158400.

The previous prime is 125187193. The next prime is 125187217. The reversal of 125187200 is 2781521.

It is a self number, because there is not a number n which added to its sum of digits gives 125187200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1763165 + ... + 1763235.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 2^125187200 is an apocalyptic number.

125187200 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 125187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

125187200 is an abundant number, since it is smaller than the sum of its proper divisors (216308800).

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

125187200 is a wasteful number, since it uses less digits than its factorization.

125187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 125187200 is about 11188.7085939352. The cubic root of 125187200 is about 500.2494755032.

The spelling of 125187200 in words is "one hundred twenty-five million, one hundred eighty-seven thousand, two hundred".