132163416 has 192 divisors, whose sum is σ = 461260800. Its totient is φ = 33177600.

The previous prime is 132163399. The next prime is 132163429. The reversal of 132163416 is 614361231.

132163416 is a `hidden beast` number, since 1 + 3 + 21 + 634 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132163416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171480 + ... + 172248.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^132163416 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 132163416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

132163416 is an abundant number, since it is smaller than the sum of its proper divisors (329097384).

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

132163416 is a wasteful number, since it uses less digits than its factorization.

132163416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 132163416 is about 11496.2348619015. The cubic root of 132163416 is about 509.3743654677.

The spelling of 132163416 in words is "one hundred thirty-two million, one hundred sixty-three thousand, four hundred sixteen".