133933177728 has 512 divisors, whose sum is σ = 468762624000. Its totient is φ = 36839577600.

The previous prime is 133933177727. The next prime is 133933177733. The reversal of 133933177728 is 827771339331.

133933177728 is a `hidden beast` number, since 13 + 393 + 3 + 177 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133933177727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203236663 + ... + 203237321.

It is an arithmetic number, because the mean of its divisors is an integer number (915552000).

Almost surely, 2^133933177728 is an apocalyptic number.

133933177728 is a gapful number since it is divisible by the number (18) 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 133933177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234381312000).

133933177728 is an abundant number, since it is smaller than the sum of its proper divisors (334829446272).

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

133933177728 is a wasteful number, since it uses less digits than its factorization.

133933177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 973 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The spelling of 133933177728 in words is "one hundred thirty-three billion, nine hundred thirty-three million, one hundred seventy-seven thousand, seven hundred twenty-eight".