132162181632 has 800 divisors, whose sum is σ = 449183750400. Its totient is φ = 38403735552.

The previous prime is 132162181621. The next prime is 132162181649. The reversal of 132162181632 is 236181261231.

132162181632 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 2 + 18 + 1 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1235160523 + ... + 1235160629.

It is an arithmetic number, because the mean of its divisors is an integer number (561479688).

Almost surely, 2^132162181632 is an apocalyptic number.

132162181632 is a gapful number since it is divisible by the number (12) 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 132162181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224591875200).

132162181632 is an abundant number, since it is smaller than the sum of its proper divisors (317021568768).

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

132162181632 is a wasteful number, since it uses less digits than its factorization.

132162181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 132162181632 in words is "one hundred thirty-two billion, one hundred sixty-two million, one hundred eighty-one thousand, six hundred thirty-two".