133123144 has 64 divisors (see below), whose sum is σ = 313061760. Its totient is φ = 51555840.

The previous prime is 133123099. The next prime is 133123157. The reversal of 133123144 is 441321331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120804 + ... + 121900.

It is an arithmetic number, because the mean of its divisors is an integer number (4891590).

Almost surely, 2^133123144 is an apocalyptic number.

133123144 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 133123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156530880).

133123144 is an abundant number, since it is smaller than the sum of its proper divisors (179938616).

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

133123144 is a wasteful number, since it uses less digits than its factorization.

133123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 133123144 is about 11537.9003289160. The cubic root of 133123144 is about 510.6043636275.

Adding to 133123144 its reverse (441321331), we get a palindrome (574444475).

The spelling of 133123144 in words is "one hundred thirty-three million, one hundred twenty-three thousand, one hundred forty-four".