132507735633 has 48 divisors (see below), whose sum is σ = 236201405440. Its totient is φ = 69706645632.

The previous prime is 132507735553. The next prime is 132507735641. The reversal of 132507735633 is 336537705231.

132507735633 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 7 + 7 + 3 + 5 + 633 = 666.

It is not a de Polignac number, because 132507735633 - 2¹⁰ = 132507734609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132507737633) 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 47 ways as a sum of consecutive naturals, for example, 88608 + ... + 522366.

Almost surely, 2^132507735633 is an apocalyptic number.

132507735633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132507735633 is a deficient number, since it is larger than the sum of its proper divisors (103693669807).

132507735633 is a wasteful number, since it uses less digits than its factorization.

132507735633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434158 (or 434155 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 45.

The spelling of 132507735633 in words is "one hundred thirty-two billion, five hundred seven million, seven hundred thirty-five thousand, six hundred thirty-three".