125387634266244 has 243 divisors, whose sum is σ = 391688302034757. Its totient is φ = 33715533212928.

The previous prime is 125387634266203. The next prime is 125387634266249. The reversal of 125387634266244 is 442662436783521.

The square root of 125387634266244 is 11197662.

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

125387634266244 is a `hidden beast` number, since 1 + 2 + 5 + 38 + 76 + 34 + 266 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97620130484100 + 27767503782144 = 9880290^2 + 5269488^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (125387634266249) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 7995122827 + ... + 7995138509.

Almost surely, 2^{125387634266244} is an apocalyptic number.

125387634266244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

125387634266244 is the 11197662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125387634266244

125387634266244 is an abundant number, since it is smaller than the sum of its proper divisors (266300667768513).

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

125387634266244 is an equidigital number, since it uses as much as digits as its factorization.

125387634266244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31424 (or 15712 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 63.

The spelling of 125387634266244 in words is "one hundred twenty-five trillion, three hundred eighty-seven billion, six hundred thirty-four million, two hundred sixty-six thousand, two hundred forty-four".