133540522341200 has 480 divisors, whose sum is σ = 381101077969920. Its totient is φ = 44497730764800.

The previous prime is 133540522341199. The next prime is 133540522341241. The reversal of 133540522341200 is 2143225045331.

It is a super-2 number, since 2×133540522341200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298480067 + ... + 298927133.

It is an arithmetic number, because the mean of its divisors is an integer number (793960579104).

Almost surely, 2^{133540522341200} is an apocalyptic number.

133540522341200 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 133540522341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190550538984960).

133540522341200 is an abundant number, since it is smaller than the sum of its proper divisors (247560555628720).

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

133540522341200 is a wasteful number, since it uses less digits than its factorization.

133540522341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447255 (or 447244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 133540522341200 its reverse (2143225045331), we get a palindrome (135683747386531).

The spelling of 133540522341200 in words is "one hundred thirty-three trillion, five hundred forty billion, five hundred twenty-two million, three hundred forty-one thousand, two hundred".