133440648 has 128 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 37221120.

The previous prime is 133440623. The next prime is 133440649. The reversal of 133440648 is 846044331.

It is a happy number.

It is a super-3 number, since 3×133440648³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133440649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185233 + ... + 185951.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2^133440648 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 133440648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

133440648 is an abundant number, since it is smaller than the sum of its proper divisors (260543352).

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

133440648 is a wasteful number, since it uses less digits than its factorization.

133440648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 133440648 is about 11551.6513105270. The cubic root of 133440648 is about 511.0099785762.

Adding to 133440648 its reverse (846044331), we get a palindrome (979484979).

The spelling of 133440648 in words is "one hundred thirty-three million, four hundred forty thousand, six hundred forty-eight".