133215040000 has 200 divisors, whose sum is σ = 380127420288. Its totient is φ = 45672960000.

The previous prime is 133215039983. The next prime is 133215040027. The reversal of 133215040000 is 40512331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 133215040000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2210265 + ... + 2269735.

Almost surely, 2^133215040000 is an apocalyptic number.

133215040000 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 133215040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190063710144).

133215040000 is an abundant number, since it is smaller than the sum of its proper divisors (246912380288).

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

133215040000 is an frugal number, since it uses more digits than its factorization.

133215040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59516 (or 59485 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 133215040000 its reverse (40512331), we get a palindrome (133255552331).

The spelling of 133215040000 in words is "one hundred thirty-three billion, two hundred fifteen million, forty thousand".