133414533200000 has 384 divisors, whose sum is σ = 357917173241040. Its totient is φ = 49240074240000.

The previous prime is 133414533199951. The next prime is 133414533200071. The reversal of 133414533200000 is 2335414331.

It can be written as a sum of positive squares in 24 ways, for example, as 128118312172096 + 5296221027904 = 11318936^2 + 2301352^2 .

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, 18496396394 + ... + 18496403606.

Almost surely, 2^{133414533200000} is an apocalyptic number.

133414533200000 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 133414533200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178958586620520).

133414533200000 is an abundant number, since it is smaller than the sum of its proper divisors (224502640041040).

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

133414533200000 is an frugal number, since it uses more digits than its factorization.

133414533200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 133414533200000 its reverse (2335414331), we get a palindrome (133416868614331).

The spelling of 133414533200000 in words is "one hundred thirty-three trillion, four hundred fourteen billion, five hundred thirty-three million, two hundred thousand".