125161200 has 150 divisors (see below), whose sum is σ = 449309784. Its totient is φ = 33367680.

The previous prime is 125161133. The next prime is 125161207. The reversal of 125161200 is 2161521.

125161200 is a `hidden beast` number, since 1 + 2 + 51 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125161207) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 30469 + ... + 34331.

Almost surely, 2^125161200 is an apocalyptic number.

125161200 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 125161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224654892).

125161200 is an abundant number, since it is smaller than the sum of its proper divisors (324148584).

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

125161200 is a wasteful number, since it uses less digits than its factorization.

125161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 125161200 is about 11187.5466479474. The cubic root of 125161200 is about 500.2148410068.

The spelling of 125161200 in words is "one hundred twenty-five million, one hundred sixty-one thousand, two hundred".