133144000 has 224 divisors, whose sum is σ = 385145280. Its totient is φ = 45056000.

The previous prime is 133143991. The next prime is 133144021. The reversal of 133144000 is 441331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495956 + ... + 1496044.

Almost surely, 2^133144000 is an apocalyptic number.

133144000 is a gapful number since it is divisible by the number (10) 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 133144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

133144000 is an abundant number, since it is smaller than the sum of its proper divisors (252001280).

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

133144000 is a wasteful number, since it uses less digits than its factorization.

133144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133144000 is about 11538.8040974791. The cubic root of 133144000 is about 510.6310271817.

Adding to 133144000 its reverse (441331), we get a palindrome (133585331).

The spelling of 133144000 in words is "one hundred thirty-three million, one hundred forty-four thousand".