1813152 has 96 divisors (see below), whose sum is σ = 5552064. Its totient is φ = 512000.

The previous prime is 1813139. The next prime is 1813157. The reversal of 1813152 is 2513181.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1813157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17902 + ... + 18002.

It is an arithmetic number, because the mean of its divisors is an integer number (57834).

2^1813152 is an apocalyptic number.

1813152 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 1813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032).

1813152 is an abundant number, since it is smaller than the sum of its proper divisors (3738912).

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

1813152 is a wasteful number, since it uses less digits than its factorization.

1813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 1813152 is about 1346.5333267320. The cubic root of 1813152 is about 121.9395920595.

It can be divided in two parts, 181 and 3152, that added together give a palindrome (3333).

The spelling of 1813152 in words is "one million, eight hundred thirteen thousand, one hundred fifty-two".