132164015364 has 96 divisors (see below), whose sum is σ = 345600393600. Its totient is φ = 43676651520.

The previous prime is 132164015359. The next prime is 132164015381. The reversal of 132164015364 is 463510461231.

132164015364 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 640 + 1 + 5 + 3 + 6 + 4 = 666.

132164015364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 5897172 + ... + 5919540.

It is an arithmetic number, because the mean of its divisors is an integer number (3600004100).

Almost surely, 2^132164015364 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 132164015364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800196800).

132164015364 is an abundant number, since it is smaller than the sum of its proper divisors (213436378236).

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

132164015364 is a wasteful number, since it uses less digits than its factorization.

132164015364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22850 (or 22842 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 132164015364 its reverse (463510461231), we get a palindrome (595674476595).

The spelling of 132164015364 in words is "one hundred thirty-two billion, one hundred sixty-four million, fifteen thousand, three hundred sixty-four".