147360 has 48 divisors (see below), whose sum is σ = 465696. Its totient is φ = 39168.

The previous prime is 147353. The next prime is 147377. The reversal of 147360 is 63741.

147360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147360.

It is an unprimeable number.

147360 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 7 ways as a sum of consecutive naturals, for example, 327 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹⁴⁷³⁶⁰ is an apocalyptic number.

147360 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 147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848).

147360 is an abundant number, since it is smaller than the sum of its proper divisors (318336).

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

147360 is a wasteful number, since it uses less digits than its factorization.

147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 147360 is about 383.8749796483. The cubic root of 147360 is about 52.8193684682.

The spelling of 147360 in words is "one hundred forty-seven thousand, three hundred sixty".