133189476480 has 96 divisors (see below), whose sum is σ = 459919930860. Its totient is φ = 35517192192.

The previous prime is 133189476451. The next prime is 133189476487. The reversal of 133189476480 is 84674981331.

133189476480 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 8 + 94 + 76 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131803850304 + 1385626176 = 363048^2 + 37224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (133189476487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11555827 + ... + 11567346.

Almost surely, 2^133189476480 is an apocalyptic number.

133189476480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133189476480 is an abundant number, since it is smaller than the sum of its proper divisors (326730454380).

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

133189476480 is a wasteful number, since it uses less digits than its factorization.

133189476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23123198 (or 23123183 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 133189476480 in words is "one hundred thirty-three billion, one hundred eighty-nine million, four hundred seventy-six thousand, four hundred eighty".