133022345520 has 320 divisors, whose sum is σ = 454355205120. Its totient is φ = 32044548096.

The previous prime is 133022345459. The next prime is 133022345531. The reversal of 133022345520 is 25543220331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37020844 + ... + 37024436.

It is an arithmetic number, because the mean of its divisors is an integer number (1419860016).

Almost surely, 2^133022345520 is an apocalyptic number.

133022345520 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 133022345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227177602560).

133022345520 is an abundant number, since it is smaller than the sum of its proper divisors (321332859600).

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

133022345520 is a wasteful number, since it uses less digits than its factorization.

133022345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 133022345520 its reverse (25543220331), we get a palindrome (158565565851).

The spelling of 133022345520 in words is "one hundred thirty-three billion, twenty-two million, three hundred forty-five thousand, five hundred twenty".