132351006564 has 144 divisors (see below), whose sum is σ = 402094457856. Its totient is φ = 37281837600.

The previous prime is 132351006553. The next prime is 132351006617. The reversal of 132351006564 is 465600153231.

132351006564 is a `hidden beast` number, since 1 + 3 + 23 + 510 + 0 + 65 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346099 + ... + 620069.

It is an arithmetic number, because the mean of its divisors is an integer number (2792322624).

Almost surely, 2^132351006564 is an apocalyptic number.

132351006564 is a gapful number since it is divisible by the number (14) 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 132351006564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201047228928).

132351006564 is an abundant number, since it is smaller than the sum of its proper divisors (269743451292).

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

132351006564 is a wasteful number, since it uses less digits than its factorization.

132351006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274068 (or 274054 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 132351006564 its reverse (465600153231), we get a palindrome (597951159795).

The spelling of 132351006564 in words is "one hundred thirty-two billion, three hundred fifty-one million, six thousand, five hundred sixty-four".