132661803456 has 672 divisors, whose sum is σ = 491909160960. Its totient is φ = 34749388800.

The previous prime is 132661803451. The next prime is 132661803479. The reversal of 132661803456 is 654308166231.

132661803456 is a `hidden beast` number, since 1 + 3 + 26 + 618 + 0 + 3 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132661803451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210240261 + ... + 210240891.

It is an arithmetic number, because the mean of its divisors is an integer number (732007680).

Almost surely, 2^132661803456 is an apocalyptic number.

132661803456 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 132661803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245954580480).

132661803456 is an abundant number, since it is smaller than the sum of its proper divisors (359247357504).

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

132661803456 is a wasteful number, since it uses less digits than its factorization.

132661803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 132661803456 its reverse (654308166231), we get a palindrome (786969969687).

The spelling of 132661803456 in words is "one hundred thirty-two billion, six hundred sixty-one million, eight hundred three thousand, four hundred fifty-six".