132661461330656 has 96 divisors (see below), whose sum is σ = 276727032046080. Its totient is φ = 62477448833536.

The previous prime is 132661461330649. The next prime is 132661461330691. The reversal of 132661461330656 is 656033164166231.

It is a junction number, because it is equal to n+sod(n) for n = 132661461330598 and 132661461330607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8108030 + ... + 18195138.

It is an arithmetic number, because the mean of its divisors is an integer number (2882573250480).

Almost surely, 2^{132661461330656} is an apocalyptic number.

132661461330656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132661461330656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138363516023040).

132661461330656 is an abundant number, since it is smaller than the sum of its proper divisors (144065570715424).

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

132661461330656 is a wasteful number, since it uses less digits than its factorization.

132661461330656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10087416 (or 10087408 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 53.

The spelling of 132661461330656 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, four hundred sixty-one million, three hundred thirty thousand, six hundred fifty-six".