125935752852100 has 243 divisors, whose sum is σ = 283957142896749. Its totient is φ = 48479515200000.

The previous prime is 125935752852053. The next prime is 125935752852101. The reversal of 125935752852100 is 1258257539521.

The square root of 125935752852100 is 11222110.

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

It can be written as a sum of positive squares in 13 ways, for example, as 77925709622916 + 48010043229184 = 8827554^2 + 6928928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125935752852101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 464707574965 + ... + 464707575235.

Almost surely, 2^{125935752852100} is an apocalyptic number.

125935752852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125935752852100 is the 11222110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125935752852100

125935752852100 is an abundant number, since it is smaller than the sum of its proper divisors (158021390044649).

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

125935752852100 is an equidigital number, since it uses as much as digits as its factorization.

125935752852100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 55.

The spelling of 125935752852100 in words is "one hundred twenty-five trillion, nine hundred thirty-five billion, seven hundred fifty-two million, eight hundred fifty-two thousand, one hundred".