16132116 has 192 divisors, whose sum is σ = 54190080. Its totient is φ = 3594240.

The previous prime is 16132097. The next prime is 16132117. The reversal of 16132116 is 61123161.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 16132092 and 16132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16132117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204165 + ... + 204243.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^16132116 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 16132116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

16132116 is an abundant number, since it is smaller than the sum of its proper divisors (38057964).

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

16132116 is a wasteful number, since it uses less digits than its factorization.

16132116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 16132116 is about 4016.4805489383. The cubic root of 16132116 is about 252.6758752462.

Adding to 16132116 its reverse (61123161), we get a palindrome (77255277).

The spelling of 16132116 in words is "sixteen million, one hundred thirty-two thousand, one hundred sixteen".