132692871168 has 768 divisors, whose sum is σ = 469243756800. Its totient is φ = 36521902080.

The previous prime is 132692871151. The next prime is 132692871173. The reversal of 132692871168 is 861178296231.

132692871168 is a `hidden beast` number, since 1 + 326 + 92 + 8 + 71 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767010730 + ... + 767010902.

It is an arithmetic number, because the mean of its divisors is an integer number (610994475).

Almost surely, 2^132692871168 is an apocalyptic number.

132692871168 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 132692871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234621878400).

132692871168 is an abundant number, since it is smaller than the sum of its proper divisors (336550885632).

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

132692871168 is a wasteful number, since it uses less digits than its factorization.

132692871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 132692871168 in words is "one hundred thirty-two billion, six hundred ninety-two million, eight hundred seventy-one thousand, one hundred sixty-eight".