133535320000 has 140 divisors (see below), whose sum is σ = 331605945880. Its totient is φ = 53336448000.

The previous prime is 133535319997. The next prime is 133535320021. The reversal of 133535320000 is 23535331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33157987 + ... + 33162013.

Almost surely, 2^133535320000 is an apocalyptic number.

133535320000 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 133535320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165802972940).

133535320000 is an abundant number, since it is smaller than the sum of its proper divisors (198070625880).

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

133535320000 is an frugal number, since it uses more digits than its factorization.

133535320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 133535320000 its reverse (23535331), we get a palindrome (133558855331).

The spelling of 133535320000 in words is "one hundred thirty-three billion, five hundred thirty-five million, three hundred twenty thousand".