125038555300096 has 81 divisors (see below), whose sum is σ = 255543775253949. Its totient is φ = 61061583787008.

The previous prime is 125038555300073. The next prime is 125038555300133. The reversal of 125038555300096 is 690003555830521.

The square root of 125038555300096 is 11182064.

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

It can be written as a sum of positive squares in only one way, i.e., 86458754822400 + 38579800477696 = 9298320^2 + 6211264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7693251906 + ... + 7693268158.

Almost surely, 2^{125038555300096} is an apocalyptic number.

125038555300096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125038555300096 is the 11182064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125038555300096

125038555300096 is an abundant number, since it is smaller than the sum of its proper divisors (130505219953853).

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

125038555300096 is an frugal number, since it uses more digits than its factorization.

125038555300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32608 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 52.

The spelling of 125038555300096 in words is "one hundred twenty-five trillion, thirty-eight billion, five hundred fifty-five million, three hundred thousand, ninety-six".