32148 has 36 divisors (see below), whose sum is σ = 87360. Its totient is φ = 9936.

The previous prime is 32143. The next prime is 32159. The reversal of 32148 is 84123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

32148 is a modest number, since divided by 148 gives 32 as remainder.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 32148.

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 32148.

It is not an unprimeable number, because it can be changed into a prime (32141) 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, 661 + ... + 707.

2³²¹⁴⁸ is an apocalyptic number.

32148 is a gapful number since it is divisible by the number (38) 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 32148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

32148 is an abundant number, since it is smaller than the sum of its proper divisors (55212).

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

32148 is a wasteful number, since it uses less digits than its factorization.

32148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 71 counting only the distinct ones).

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

The square root of 32148 is about 179.2986335698. The cubic root of 32148 is about 31.7968906418.

The spelling of 32148 in words is "thirty-two thousand, one hundred forty-eight".