133294004000 has 96 divisors (see below), whose sum is σ = 328324035312. Its totient is φ = 53184000000.

The previous prime is 133294003993. The next prime is 133294004021. The reversal of 133294004000 is 400492331.

It can be written as a sum of positive squares in 8 ways, for example, as 37290699664 + 96003304336 = 193108^2 + 309844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1562450 + ... + 1645550.

Almost surely, 2^133294004000 is an apocalyptic number.

133294004000 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 133294004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164162017656).

133294004000 is an abundant number, since it is smaller than the sum of its proper divisors (195030031312).

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

133294004000 is an equidigital number, since it uses as much as digits as its factorization.

133294004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83527 (or 83509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 133294004000 its reverse (400492331), we get a palindrome (133694496331).

The spelling of 133294004000 in words is "one hundred thirty-three billion, two hundred ninety-four million, four thousand".