133742328 has 64 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 43211520.

The previous prime is 133742327. The next prime is 133742363. The reversal of 133742328 is 823247331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133742327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 195475 + ... + 196157.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^133742328 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 133742328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

133742328 is an abundant number, since it is smaller than the sum of its proper divisors (210993672).

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

133742328 is a wasteful number, since it uses less digits than its factorization.

133742328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 133742328 is about 11564.7018119794. The cubic root of 133742328 is about 511.3947825152.

Adding to 133742328 its reverse (823247331), we get a palindrome (956989659).

The spelling of 133742328 in words is "one hundred thirty-three million, seven hundred forty-two thousand, three hundred twenty-eight".