16133000 has 128 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 5529600.

The previous prime is 16132973. The next prime is 16133003. The reversal of 16133000 is 33161.

16133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 813604 + 15319396 = 902^2 + 3914^2 .

It is not an unprimeable number, because it can be changed into a prime (16133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220964 + ... + 221036.

Almost surely, 2^16133000 is an apocalyptic number.

16133000 is a gapful number since it is divisible by the number (10) 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 16133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

16133000 is an abundant number, since it is smaller than the sum of its proper divisors (27503320).

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

16133000 is a wasteful number, since it uses less digits than its factorization.

16133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 16133000 is about 4016.5905940237. The cubic root of 16133000 is about 252.6804904993.

Adding to 16133000 its reverse (33161), we get a palindrome (16166161).

The spelling of 16133000 in words is "sixteen million, one hundred thirty-three thousand".