16133136 has 60 divisors (see below), whose sum is σ = 44311152. Its totient is φ = 5057024.

The previous prime is 16133111. The next prime is 16133149. The reversal of 16133136 is 63133161.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 13291 + ... + 14453.

Almost surely, 2^16133136 is an apocalyptic number.

16133136 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 16133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155576).

16133136 is an abundant number, since it is smaller than the sum of its proper divisors (28178016).

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

16133136 is a wasteful number, since it uses less digits than its factorization.

16133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1185 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 16133136 is about 4016.6075237693. The cubic root of 16133136 is about 252.6812005232.

Adding to 16133136 its reverse (63133161), we get a palindrome (79266297).

The spelling of 16133136 in words is "sixteen million, one hundred thirty-three thousand, one hundred thirty-six".