133302400000 has 528 divisors, whose sum is σ = 416026122624. Its totient is φ = 41472000000.

The previous prime is 133302399973. The next prime is 133302400031. The reversal of 133302400000 is 4203331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 246399730 + ... + 246400270.

Almost surely, 2^133302400000 is an apocalyptic number.

133302400000 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 133302400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208013061312).

133302400000 is an abundant number, since it is smaller than the sum of its proper divisors (282723722624).

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

133302400000 is an frugal number, since it uses more digits than its factorization.

133302400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 133302400000 its reverse (4203331), we get a palindrome (133306603331).

The spelling of 133302400000 in words is "one hundred thirty-three billion, three hundred two million, four hundred thousand".