132561749164608 has 224 divisors, whose sum is σ = 396873977904000. Its totient is φ = 43377462282240.

The previous prime is 132561749164589. The next prime is 132561749164667. The reversal of 132561749164608 is 806461947165231.

132561749164608 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 6 + 1 + 7 + 4 + 9 + 16 + 4 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52417303 + ... + 54888041.

It is a 1-persistent number, because it is pandigital, but 2⋅132561749164608 = 265123498329216 is not.

Almost surely, 2^{132561749164608} is an apocalyptic number.

132561749164608 is a gapful number since it is divisible by the number (18) 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 132561749164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198436988952000).

132561749164608 is an abundant number, since it is smaller than the sum of its proper divisors (264312228739392).

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

132561749164608 is a wasteful number, since it uses less digits than its factorization.

132561749164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471330 (or 2471314 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 132561749164608 in words is "one hundred thirty-two trillion, five hundred sixty-one billion, seven hundred forty-nine million, one hundred sixty-four thousand, six hundred eight".