125440065072 has 480 divisors, whose sum is σ = 455156582400. Its totient is φ = 32855155200.

The previous prime is 125440065071. The next prime is 125440065109. The reversal of 125440065072 is 270560044521.

It is a happy number.

125440065072 is a `hidden beast` number, since 125 + 4 + 400 + 65 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125440065071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12462922 + ... + 12472982.

It is an arithmetic number, because the mean of its divisors is an integer number (948242880).

Almost surely, 2^125440065072 is an apocalyptic number.

125440065072 is a gapful number since it is divisible by the number (12) 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 125440065072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227578291200).

125440065072 is an abundant number, since it is smaller than the sum of its proper divisors (329716517328).

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

125440065072 is a wasteful number, since it uses less digits than its factorization.

125440065072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 125440065072 in words is "one hundred twenty-five billion, four hundred forty million, sixty-five thousand, seventy-two".