125420805904 has 135 divisors (see below), whose sum is σ = 261340221909. Its totient is φ = 58306926720.

The previous prime is 125420805877. The next prime is 125420805929. The reversal of 125420805904 is 409508024521.

It is a happy number.

The square root of 125420805904 is 354148.

It is a perfect power (a square), and thus also a powerful number.

125420805904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65767628304 + 59653177600 = 256452^2 + 244240^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1766490189 + ... + 1766490259.

Almost surely, 2^125420805904 is an apocalyptic number.

125420805904 is the 354148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125420805904

125420805904 is an abundant number, since it is smaller than the sum of its proper divisors (135919416005).

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

125420805904 is an frugal number, since it uses more digits than its factorization.

125420805904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 125420805904 in words is "one hundred twenty-five billion, four hundred twenty million, eight hundred five thousand, nine hundred four".