125778744000 has 1792 divisors, whose sum is σ = 582250905600. Its totient is φ = 26202009600.

The previous prime is 125778743977. The next prime is 125778744011. The reversal of 125778744000 is 447877521.

125778744000 is a `hidden beast` number, since 1 + 2 + 577 + 8 + 74 + 4 + 0 + 0 + 0 = 666.

125778744000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1592135961 + ... + 1592136039.

It is an arithmetic number, because the mean of its divisors is an integer number (324916800).

Almost surely, 2^125778744000 is an apocalyptic number.

125778744000 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 125778744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291125452800).

125778744000 is an abundant number, since it is smaller than the sum of its proper divisors (456472161600).

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

125778744000 is an frugal number, since it uses more digits than its factorization.

125778744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 125778744000 in words is "one hundred twenty-five billion, seven hundred seventy-eight million, seven hundred forty-four thousand".