133007505808005 has 32 divisors (see below), whose sum is σ = 236460810741120. Its totient is φ = 70936429639680.

The previous prime is 133007505807991. The next prime is 133007505808007. The reversal of 133007505808005 is 500808505700331.

133007505808005 is a `hidden beast` number, since 13 + 3 + 0 + 0 + 7 + 50 + 580 + 8 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 133007505808005 - 2¹⁶ = 133007505742469 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133007505808007) 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 31 ways as a sum of consecutive naturals, for example, 4369534 + ... + 16885136.

It is an arithmetic number, because the mean of its divisors is an integer number (7389400335660).

Almost surely, 2^{133007505808005} is an apocalyptic number.

133007505808005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133007505808005 is a deficient number, since it is larger than the sum of its proper divisors (103453304933115).

133007505808005 is a wasteful number, since it uses less digits than its factorization.

133007505808005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594338 (or 12594332 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 133007505808005 in words is "one hundred thirty-three trillion, seven billion, five hundred five million, eight hundred eight thousand, five".