148032 has 42 divisors (see below), whose sum is σ = 425958. Its totient is φ = 49152.

The previous prime is 148021. The next prime is 148061. The reversal of 148032 is 230841.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 576 = 384^2 + 24^2 .

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

It is an Ulam number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 147996 and 148014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148032.

It is an unprimeable number.

148032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 448 + ... + 704.

2¹⁴⁸⁰³² is an apocalyptic number.

148032 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 148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212979).

148032 is an abundant number, since it is smaller than the sum of its proper divisors (277926).

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

148032 is a wasteful number, since it uses less digits than its factorization.

148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 148032 is about 384.7492690052. The cubic root of 148032 is about 52.8995367567.

Adding to 148032 its reverse (230841), we get a palindrome (378873).

The spelling of 148032 in words is "one hundred forty-eight thousand, thirty-two".