148320 has 72 divisors (see below), whose sum is σ = 511056. Its totient is φ = 39168.

The previous prime is 148303. The next prime is 148331. The reversal of 148320 is 23841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 148293 and 148302.

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 148320.

It is an unprimeable number.

148320 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 11 ways as a sum of consecutive naturals, for example, 1389 + ... + 1491.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2¹⁴⁸³²⁰ is an apocalyptic number.

148320 is a gapful number since it is divisible by the number (10) 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 148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528).

148320 is an abundant number, since it is smaller than the sum of its proper divisors (362736).

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

148320 is a wasteful number, since it uses less digits than its factorization.

148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

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

The square root of 148320 is about 385.1233568611. The cubic root of 148320 is about 52.9338203287.

The spelling of 148320 in words is "one hundred forty-eight thousand, three hundred twenty".