132768842267656 has 128 divisors (see below), whose sum is σ = 300386063520000. Its totient is φ = 54927038745600.

The previous prime is 132768842267651. The next prime is 132768842267689. The reversal of 132768842267656 is 656762248867231.

It is not an unprimeable number, because it can be changed into a prime (132768842267651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375501591 + ... + 375855001.

It is an arithmetic number, because the mean of its divisors is an integer number (2346766121250).

Almost surely, 2^{132768842267656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132768842267656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150193031760000).

132768842267656 is an abundant number, since it is smaller than the sum of its proper divisors (167617221252344).

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

132768842267656 is a wasteful number, since it uses less digits than its factorization.

132768842267656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358188 (or 358170 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 73.

The spelling of 132768842267656 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, eight hundred forty-two million, two hundred sixty-seven thousand, six hundred fifty-six".