126333148999204 has 81 divisors (see below), whose sum is σ = 257793101986833. Its totient is φ = 54013632817536.

The previous prime is 126333148999177. The next prime is 126333148999289. The reversal of 126333148999204 is 402999841333621.

The square root of 126333148999204 is 11239802.

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., 125943832900900 + 389316098304 = 11222470^2 + 623952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97404123484 + ... + 97404124780.

Almost surely, 2^{126333148999204} is an apocalyptic number.

126333148999204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126333148999204 is the 11239802-nd square number.

It is an amenable number.

126333148999204 is an abundant number, since it is smaller than the sum of its proper divisors (131459952987629).

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

126333148999204 is an frugal number, since it uses more digits than its factorization.

126333148999204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

The spelling of 126333148999204 in words is "one hundred twenty-six trillion, three hundred thirty-three billion, one hundred forty-eight million, nine hundred ninety-nine thousand, two hundred four".