18001152 has 108 divisors (see below), whose sum is σ = 55987204. Its totient is φ = 5529600.

The previous prime is 18001121. The next prime is 18001153. The reversal of 18001152 is 25110081.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 9144576 = 2976^2 + 3024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18001153) 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, 29652 + ... + 30252.

Almost surely, 2^18001152 is an apocalyptic number.

18001152 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 18001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993602).

18001152 is an abundant number, since it is smaller than the sum of its proper divisors (37986052).

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

18001152 is a wasteful number, since it uses less digits than its factorization.

18001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 18001152 is about 4242.7764494491. The cubic root of 18001152 is about 262.0797302166.

It can be divided in two parts, 1800 and 1152, that multiplied together give a square (2073600 = 1440²).

The spelling of 18001152 in words is "eighteen million, one thousand, one hundred fifty-two".