133020032640 has 512 divisors, whose sum is σ = 494503833600. Its totient is φ = 30088396800.

The previous prime is 133020032627. The next prime is 133020032657. The reversal of 133020032640 is 46230020331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133020032640.

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 63 ways as a sum of consecutive naturals, for example, 19912821 + ... + 19919499.

It is an arithmetic number, because the mean of its divisors is an integer number (965827800).

Almost surely, 2^133020032640 is an apocalyptic number.

133020032640 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 133020032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247251916800).

133020032640 is an abundant number, since it is smaller than the sum of its proper divisors (361483800960).

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

133020032640 is a wasteful number, since it uses less digits than its factorization.

133020032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133020032640 its reverse (46230020331), we get a palindrome (179250052971).

The spelling of 133020032640 in words is "one hundred thirty-three billion, twenty million, thirty-two thousand, six hundred forty".