125444035200 has 384 divisors, whose sum is σ = 453785955840. Its totient is φ = 30205440000.

The previous prime is 125444035153. The next prime is 125444035207. The reversal of 125444035200 is 2530444521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125444035207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15941667 + ... + 15949533.

It is an arithmetic number, because the mean of its divisors is an integer number (1181734260).

Almost surely, 2^125444035200 is an apocalyptic number.

125444035200 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 125444035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226892977920).

125444035200 is an abundant number, since it is smaller than the sum of its proper divisors (328341920640).

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

125444035200 is a wasteful number, since it uses less digits than its factorization.

125444035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 125444035200 its reverse (2530444521), we get a palindrome (127974479721).

The spelling of 125444035200 in words is "one hundred twenty-five billion, four hundred forty-four million, thirty-five thousand, two hundred".