133388038128 has 80 divisors (see below), whose sum is σ = 366173304480. Its totient is φ = 41696083968.

The previous prime is 133388038093. The next prime is 133388038129. The reversal of 133388038128 is 821830883331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133388038129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69033 + ... + 521096.

It is an arithmetic number, because the mean of its divisors is an integer number (4577166306).

Almost surely, 2^133388038128 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 133388038128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183086652240).

133388038128 is an abundant number, since it is smaller than the sum of its proper divisors (232785266352).

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

133388038128 is a wasteful number, since it uses less digits than its factorization.

133388038128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590434 (or 590428 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 133388038128 in words is "one hundred thirty-three billion, three hundred eighty-eight million, thirty-eight thousand, one hundred twenty-eight".