125366538240 has 520 divisors, whose sum is σ = 452707789248. Its totient is φ = 33323581440.

The previous prime is 125366538197. The next prime is 125366538251. The reversal of 125366538240 is 42835663521.

125366538240 is a `hidden beast` number, since 1 + 2 + 53 + 66 + 538 + 2 + 4 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403107685 + ... + 403107995.

Almost surely, 2^125366538240 is an apocalyptic number.

125366538240 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 125366538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226353894624).

125366538240 is an abundant number, since it is smaller than the sum of its proper divisors (327341251008).

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

125366538240 is an frugal number, since it uses more digits than its factorization.

125366538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 125366538240 in words is "one hundred twenty-five billion, three hundred sixty-six million, five hundred thirty-eight thousand, two hundred forty".