14533152 has 48 divisors (see below), whose sum is σ = 38973312. Its totient is φ = 4739840.

The previous prime is 14533139. The next prime is 14533163. The reversal of 14533152 is 25133541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14533152² = 422425014110208, which contains 22 as substring.

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 nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2902 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (811944).

Almost surely, 2^14533152 is an apocalyptic number.

14533152 is a gapful number since it is divisible by the number (12) 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 14533152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486656).

14533152 is an abundant number, since it is smaller than the sum of its proper divisors (24440160).

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

14533152 is a wasteful number, since it uses less digits than its factorization.

14533152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3273 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 14533152 is about 3812.2371384792. The cubic root of 14533152 is about 244.0356482897.

Adding to 14533152 its reverse (25133541), we get a palindrome (39666693).

The spelling of 14533152 in words is "fourteen million, five hundred thirty-three thousand, one hundred fifty-two".