125726797440 has 192 divisors, whose sum is σ = 441268799400. Its totient is φ = 32977428480.

The previous prime is 125726797423. The next prime is 125726797489. The reversal of 125726797440 is 44797627521.

125726797440 is a `hidden beast` number, since 1 + 2 + 57 + 2 + 67 + 97 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106834844736 + 18891952704 = 326856^2 + 137448^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 172446 + ... + 530274.

Almost surely, 2^125726797440 is an apocalyptic number.

125726797440 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 125726797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220634399700).

125726797440 is an abundant number, since it is smaller than the sum of its proper divisors (315542001960).

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

125726797440 is a wasteful number, since it uses less digits than its factorization.

125726797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357915 (or 357900 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 125726797440 in words is "one hundred twenty-five billion, seven hundred twenty-six million, seven hundred ninety-seven thousand, four hundred forty".