133213444 has 48 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 52523136.

The previous prime is 133213397. The next prime is 133213471. The reversal of 133213444 is 444312331.

It is a super-2 number, since 2×133213444² = 35491643324682272, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 184917 + ... + 185635.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^133213444 is an apocalyptic number.

133213444 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 133213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

133213444 is an abundant number, since it is smaller than the sum of its proper divisors (154671356).

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

133213444 is a wasteful number, since it uses less digits than its factorization.

133213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 133213444 is about 11541.8128558732. The cubic root of 133213444 is about 510.7197884673.

Adding to 133213444 its reverse (444312331), we get a palindrome (577525775).

The spelling of 133213444 in words is "one hundred thirty-three million, two hundred thirteen thousand, four hundred forty-four".