133141220342240 has 288 divisors, whose sum is σ = 364596226735104. Its totient is φ = 45556689346560.

The previous prime is 133141220342231. The next prime is 133141220342261. The reversal of 133141220342240 is 42243022141331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 133141220342197 and 133141220342206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2432797757 + ... + 2432852483.

It is an arithmetic number, because the mean of its divisors is an integer number (1265959120608).

Almost surely, 2^{133141220342240} is an apocalyptic number.

133141220342240 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 133141220342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182298113367552).

133141220342240 is an abundant number, since it is smaller than the sum of its proper divisors (231455006392864).

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

133141220342240 is a wasteful number, since it uses less digits than its factorization.

133141220342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59570 (or 59545 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 133141220342240 its reverse (42243022141331), we get a palindrome (175384242483571).

The spelling of 133141220342240 in words is "one hundred thirty-three trillion, one hundred forty-one billion, two hundred twenty million, three hundred forty-two thousand, two hundred forty".