133005541405032 has 24 divisors (see below), whose sum is σ = 360223341305490. Its totient is φ = 44335180468320.

The previous prime is 133005541405031. The next prime is 133005541405111. The reversal of 133005541405032 is 230504145500331.

133005541405032 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 5 + 5 + 4 + 140 + 503 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93239224354116 + 39766317050916 = 9656046^2 + 6306054^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133005541405031) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 923649593019 + ... + 923649593162.

Almost surely, 2^{133005541405032} is an apocalyptic number.

133005541405032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133005541405032 is an abundant number, since it is smaller than the sum of its proper divisors (227217799900458).

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

133005541405032 is a wasteful number, since it uses less digits than its factorization.

133005541405032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847299186193 (or 1847299186186 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 133005541405032 its reverse (230504145500331), we get a palindrome (363509686905363).

The spelling of 133005541405032 in words is "one hundred thirty-three trillion, five billion, five hundred forty-one million, four hundred five thousand, thirty-two".