125138679847200 has 216 divisors, whose sum is σ = 441515329593156. Its totient is φ = 33351782400000.

The previous prime is 125138679847123. The next prime is 125138679847201. The reversal of 125138679847200 is 2748976831521.

125138679847200 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 386 + 7 + 9 + 8 + 47 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 59777081886096 + 65361597961104 = 7731564^2 + 8084652^2 .

It is not an unprimeable number, because it can be changed into a prime (125138679847201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8142000 + ... + 17792400.

It is a 1-persistent number, because it is pandigital, but 2⋅125138679847200 = 250277359694400 is not.

Almost surely, 2^{125138679847200} is an apocalyptic number.

125138679847200 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 125138679847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220757664796578).

125138679847200 is an abundant number, since it is smaller than the sum of its proper divisors (316376649745956).

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

125138679847200 is a wasteful number, since it uses less digits than its factorization.

125138679847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652228 (or 9652212 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 125138679847200 in words is "one hundred twenty-five trillion, one hundred thirty-eight billion, six hundred seventy-nine million, eight hundred forty-seven thousand, two hundred".