133748384 has 192 divisors, whose sum is σ = 362299392. Its totient is φ = 47001600.

The previous prime is 133748357. The next prime is 133748389. The reversal of 133748384 is 483847331.

It is a super-2 number, since 2×133748384² = 35777260445222912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133748389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298477 + ... + 1298579.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^133748384 is an apocalyptic number.

133748384 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 133748384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

133748384 is an abundant number, since it is smaller than the sum of its proper divisors (228551008).

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

133748384 is a wasteful number, since it uses less digits than its factorization.

133748384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 133748384 is about 11564.9636402368. The cubic root of 133748384 is about 511.4025012385.

The spelling of 133748384 in words is "one hundred thirty-three million, seven hundred forty-eight thousand, three hundred eighty-four".