133838848128 has 96 divisors (see below), whose sum is σ = 356714102160. Its totient is φ = 44462060032.

The previous prime is 133838848111. The next prime is 133838848153. The reversal of 133838848128 is 821848838331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150888901 + ... + 150889787.

Almost surely, 2^133838848128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133838848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178357051080).

133838848128 is an abundant number, since it is smaller than the sum of its proper divisors (222875254032).

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

133838848128 is an frugal number, since it uses more digits than its factorization.

133838848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1335 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The spelling of 133838848128 in words is "one hundred thirty-three billion, eight hundred thirty-eight million, eight hundred forty-eight thousand, one hundred twenty-eight".