133202432314000 has 240 divisors, whose sum is σ = 376126464870000. Its totient is φ = 45491694796800.

The previous prime is 133202432313989. The next prime is 133202432314009. The reversal of 133202432314000 is 413234202331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6181733376 + 133196250580624 = 78624^2 + 11541068^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 133202432314000.

It is not an unprimeable number, because it can be changed into a prime (133202432314009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22541626 + ... + 27830374.

It is an arithmetic number, because the mean of its divisors is an integer number (1567193603625).

Almost surely, 2^{133202432314000} is an apocalyptic number.

133202432314000 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 133202432314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188063232435000).

133202432314000 is an abundant number, since it is smaller than the sum of its proper divisors (242924032556000).

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

133202432314000 is a wasteful number, since it uses less digits than its factorization.

133202432314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289043 (or 5289020 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133202432314000 its reverse (413234202331), we get a palindrome (133615666516331).

The spelling of 133202432314000 in words is "one hundred thirty-three trillion, two hundred two billion, four hundred thirty-two million, three hundred fourteen thousand".