126833379192 has 288 divisors, whose sum is σ = 381492633600. Its totient is φ = 38033259264.

The previous prime is 126833379161. The next prime is 126833379203. The reversal of 126833379192 is 291973338621.

126833379192 is a `hidden beast` number, since 1 + 2 + 6 + 83 + 3 + 379 + 192 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 264787609 + ... + 264788087.

It is an arithmetic number, because the mean of its divisors is an integer number (1324627200).

Almost surely, 2^126833379192 is an apocalyptic number.

126833379192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126833379192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190746316800).

126833379192 is an abundant number, since it is smaller than the sum of its proper divisors (254659254408).

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

126833379192 is a wasteful number, since it uses less digits than its factorization.

126833379192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 126833379192 in words is "one hundred twenty-six billion, eight hundred thirty-three million, three hundred seventy-nine thousand, one hundred ninety-two".