133223400240 has 320 divisors, whose sum is σ = 488410644480. Its totient is φ = 29396597760.

The previous prime is 133223400229. The next prime is 133223400241. The reversal of 133223400240 is 42004322331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133223400240.

It is not an unprimeable number, because it can be changed into a prime (133223400241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22860207 + ... + 22866033.

It is an arithmetic number, because the mean of its divisors is an integer number (1526283264).

Almost surely, 2^133223400240 is an apocalyptic number.

133223400240 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 133223400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244205322240).

133223400240 is an abundant number, since it is smaller than the sum of its proper divisors (355187244240).

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

133223400240 is a wasteful number, since it uses less digits than its factorization.

133223400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 133223400240 its reverse (42004322331), we get a palindrome (175227722571).

The spelling of 133223400240 in words is "one hundred thirty-three billion, two hundred twenty-three million, four hundred thousand, two hundred forty".