16137216 has 132 divisors (see below), whose sum is σ = 49815792. Its totient is φ = 5013504.

The previous prime is 16137197. The next prime is 16137221. The reversal of 16137216 is 61273161.

It is a self number, because there is not a number n which added to its sum of digits gives 16137216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156621 + ... + 156723.

Almost surely, 2^16137216 is an apocalyptic number.

16137216 is a gapful number since it is divisible by the number (16) 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 16137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24907896).

16137216 is an abundant number, since it is smaller than the sum of its proper divisors (33678576).

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

16137216 is a wasteful number, since it uses less digits than its factorization.

16137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 16137216 is about 4017.1153829583. The cubic root of 16137216 is about 252.7024993871.

The spelling of 16137216 in words is "sixteen million, one hundred thirty-seven thousand, two hundred sixteen".