125727614208 has 720 divisors, whose sum is σ = 445539346560. Its totient is φ = 34521956352.

The previous prime is 125727614197. The next prime is 125727614209. The reversal of 125727614208 is 802416727521.

125727614208 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 2 + 7 + 614 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125727614209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 453890166 + ... + 453890442.

It is an arithmetic number, because the mean of its divisors is an integer number (618804648).

Almost surely, 2^125727614208 is an apocalyptic number.

125727614208 is a gapful number since it is divisible by the number (18) 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 125727614208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222769673280).

125727614208 is an abundant number, since it is smaller than the sum of its proper divisors (319811732352).

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

125727614208 is an equidigital number, since it uses as much as digits as its factorization.

125727614208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 125727614208 in words is "one hundred twenty-five billion, seven hundred twenty-seven million, six hundred fourteen thousand, two hundred eight".