19152 has 60 divisors (see below), whose sum is σ = 64480. Its totient is φ = 5184.

The previous prime is 19141. The next prime is 19157. The reversal of 19152 is 25191.

19152 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

19152 is a Rhonda number in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999 + ... + 1017.

19152 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 19152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32240).

19152 is an abundant number, since it is smaller than the sum of its proper divisors (45328).

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

19152 is a wasteful number, since it uses less digits than its factorization.

19152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 31 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 19152 is about 138.3907511360. The cubic root of 19152 is about 26.7549849504.

It can be divided in two parts, 191 and 52, that added together give a 5-th power (243 = 3⁵).

The spelling of 19152 in words is "nineteen thousand, one hundred fifty-two".