133141120032 has 96 divisors (see below), whose sum is σ = 360527799744. Its totient is φ = 43001164800.

The previous prime is 133141120019. The next prime is 133141120033. The reversal of 133141120032 is 230021141331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 133141119990 and 133141120008.

It is not an unprimeable number, because it can be changed into a prime (133141120033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 222682 + ... + 562022.

It is an arithmetic number, because the mean of its divisors is an integer number (3755497914).

Almost surely, 2^133141120032 is an apocalyptic number.

133141120032 is a gapful number since it is divisible by the number (12) 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 133141120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180263899872).

133141120032 is an abundant number, since it is smaller than the sum of its proper divisors (227386679712).

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

133141120032 is a wasteful number, since it uses less digits than its factorization.

133141120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339482 (or 339474 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133141120032 its reverse (230021141331), we get a palindrome (363162261363).

The spelling of 133141120032 in words is "one hundred thirty-three billion, one hundred forty-one million, one hundred twenty thousand, thirty-two".