133584640 has 144 divisors (see below), whose sum is σ = 387640512. Its totient is φ = 43057152.

The previous prime is 133584629. The next prime is 133584641. The reversal of 133584640 is 46485331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 133584596 and 133584605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133584641) 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, 151882 + ... + 152758.

It is an arithmetic number, because the mean of its divisors is an integer number (2691948).

Almost surely, 2^133584640 is an apocalyptic number.

133584640 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 133584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193820256).

133584640 is an abundant number, since it is smaller than the sum of its proper divisors (254055872).

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

133584640 is an equidigital number, since it uses as much as digits as its factorization.

133584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 133584640 is about 11557.8821589424. The cubic root of 133584640 is about 511.1937179371.

The spelling of 133584640 in words is "one hundred thirty-three million, five hundred eighty-four thousand, six hundred forty".