132768430460535 has 32 divisors (see below), whose sum is σ = 213297856657920. Its totient is φ = 70520567849600.

The previous prime is 132768430460459. The next prime is 132768430460537. The reversal of 132768430460535 is 535064034867231.

It is not a de Polignac number, because 132768430460535 - 2¹⁴ = 132768430444151 is a prime.

It is a super-2 number, since 2×132768430460535² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132768430460537) 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, 4870240 + ... + 17007530.

It is an arithmetic number, because the mean of its divisors is an integer number (6665558020560).

Almost surely, 2^{132768430460535} is an apocalyptic number.

132768430460535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132768430460535 is a deficient number, since it is larger than the sum of its proper divisors (80529426197385).

132768430460535 is a wasteful number, since it uses less digits than its factorization.

132768430460535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140279.

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 132768430460535 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, four hundred thirty million, four hundred sixty thousand, five hundred thirty-five".