133101392792844 has 288 divisors, whose sum is σ = 371524892175360. Its totient is φ = 36966165844608.

The previous prime is 133101392792803. The next prime is 133101392792861. The reversal of 133101392792844 is 448297293101331.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2808792919 + ... + 2808840305.

It is an arithmetic number, because the mean of its divisors is an integer number (1290016986720).

Almost surely, 2^{133101392792844} is an apocalyptic number.

133101392792844 is a gapful number since it is divisible by the number (14) 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 133101392792844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185762446087680).

133101392792844 is an abundant number, since it is smaller than the sum of its proper divisors (238423499382516).

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

133101392792844 is a wasteful number, since it uses less digits than its factorization.

133101392792844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48417 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 133101392792844 in words is "one hundred thirty-three trillion, one hundred one billion, three hundred ninety-two million, seven hundred ninety-two thousand, eight hundred forty-four".