133811841296 has 120 divisors (see below), whose sum is σ = 313295673240. Its totient is φ = 55138406400.

The previous prime is 133811841283. The next prime is 133811841307. The reversal of 133811841296 is 692148118331.

It can be written as a sum of positive squares in 4 ways, for example, as 2941543696 + 130870297600 = 54236^2 + 361760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133811841296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5467166 + ... + 5491586.

It is an arithmetic number, because the mean of its divisors is an integer number (2610797277).

Almost surely, 2^133811841296 is an apocalyptic number.

133811841296 is a gapful number since it is divisible by the number (16) 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 133811841296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156647836620).

133811841296 is an abundant number, since it is smaller than the sum of its proper divisors (179483831944).

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

133811841296 is a wasteful number, since it uses less digits than its factorization.

133811841296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24713 (or 24700 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The spelling of 133811841296 in words is "one hundred thirty-three billion, eight hundred eleven million, eight hundred forty-one thousand, two hundred ninety-six".