125245366272 has 336 divisors, whose sum is σ = 392690680200. Its totient is φ = 38234750976.

The previous prime is 125245366219. The next prime is 125245366289. The reversal of 125245366272 is 272663542521.

125245366272 is a `hidden beast` number, since 1 + 2 + 52 + 4 + 536 + 62 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83276107776 + 41969258496 = 288576^2 + 204864^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 142810698 + ... + 142811574.

Almost surely, 2^125245366272 is an apocalyptic number.

125245366272 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 125245366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196345340100).

125245366272 is an abundant number, since it is smaller than the sum of its proper divisors (267445313928).

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

125245366272 is a wasteful number, since it uses less digits than its factorization.

125245366272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1044 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 125245366272 in words is "one hundred twenty-five billion, two hundred forty-five million, three hundred sixty-six thousand, two hundred seventy-two".