125928714240 has 936 divisors, whose sum is σ = 517415378688. Its totient is φ = 28240773120.

The previous prime is 125928714217. The next prime is 125928714251. The reversal of 125928714240 is 42417829521.

125928714240 is a `hidden beast` number, since 1 + 2 + 592 + 8 + 7 + 14 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659312545 + ... + 659312735.

It is an arithmetic number, because the mean of its divisors is an integer number (552794208).

Almost surely, 2^125928714240 is an apocalyptic number.

125928714240 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 125928714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258707689344).

125928714240 is an abundant number, since it is smaller than the sum of its proper divisors (391486664448).

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

125928714240 is a wasteful number, since it uses less digits than its factorization.

125928714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 125928714240 in words is "one hundred twenty-five billion, nine hundred twenty-eight million, seven hundred fourteen thousand, two hundred forty".