132032505201345 has 128 divisors (see below), whose sum is σ = 271518501703680. Its totient is φ = 59623931105280.

The previous prime is 132032505201307. The next prime is 132032505201353. The reversal of 132032505201345 is 543102505230231.

132032505201345 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 32 + 50 + 520 + 13 + 45 = 666.

It is not a de Polignac number, because 132032505201345 - 2¹⁴ = 132032505184961 is a prime.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 748730785 + ... + 748907105.

It is an arithmetic number, because the mean of its divisors is an integer number (2121238294560).

Almost surely, 2^{132032505201345} is an apocalyptic number.

132032505201345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132032505201345 is an abundant number, since it is smaller than the sum of its proper divisors (139485996502335).

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

132032505201345 is a wasteful number, since it uses less digits than its factorization.

132032505201345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185972 (or 185966 counting only the distinct ones).

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

The spelling of 132032505201345 in words is "one hundred thirty-two trillion, thirty-two billion, five hundred five million, two hundred one thousand, three hundred forty-five".