133523235052240 has 320 divisors, whose sum is σ = 372431986041600. Its totient is φ = 43972540416000.

The previous prime is 133523235052217. The next prime is 133523235052331. The reversal of 133523235052240 is 42250532325331.

133523235052240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 133523235052193 and 133523235052202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47609644 + ... + 50336116.

It is an arithmetic number, because the mean of its divisors is an integer number (1163849956380).

Almost surely, 2^{133523235052240} is an apocalyptic number.

133523235052240 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 133523235052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186215993020800).

133523235052240 is an abundant number, since it is smaller than the sum of its proper divisors (238908750989360).

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

133523235052240 is a wasteful number, since it uses less digits than its factorization.

133523235052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726646 (or 2726640 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 133523235052240 its reverse (42250532325331), we get a palindrome (175773767377571).

The spelling of 133523235052240 in words is "one hundred thirty-three trillion, five hundred twenty-three billion, two hundred thirty-five million, fifty-two thousand, two hundred forty".