133530144 has 96 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 39148800.

The previous prime is 133530143. The next prime is 133530169. The reversal of 133530144 is 441035331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133530143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30697 + ... + 34775.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^133530144 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 133530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

133530144 is an abundant number, since it is smaller than the sum of its proper divisors (261283296).

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

133530144 is a wasteful number, since it uses less digits than its factorization.

133530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 133530144 is about 11555.5243931204. The cubic root of 133530144 is about 511.1241944701.

Adding to 133530144 its reverse (441035331), we get a palindrome (574565475).

The spelling of 133530144 in words is "one hundred thirty-three million, five hundred thirty thousand, one hundred forty-four".