133183248 has 120 divisors (see below), whose sum is σ = 395016384. Its totient is φ = 38565120.

The previous prime is 133183247. The next prime is 133183279. The reversal of 133183248 is 842381331.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (133183247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133086 + ... + 134082.

Almost surely, 2^133183248 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 133183248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197508192).

133183248 is an abundant number, since it is smaller than the sum of its proper divisors (261833136).

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

133183248 is a wasteful number, since it uses less digits than its factorization.

133183248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 133183248 is about 11540.5046683410. The cubic root of 133183248 is about 510.6811966164.

It can be divided in two parts, 133 and 183248, that added together give a palindrome (183381).

The spelling of 133183248 in words is "one hundred thirty-three million, one hundred eighty-three thousand, two hundred forty-eight".