147520 has 28 divisors (see below), whose sum is σ = 352044. Its totient is φ = 58880.

The previous prime is 147517. The next prime is 147541. The reversal of 147520 is 25741.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 97344 = 224^2 + 312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (12573).

2¹⁴⁷⁵²⁰ is an apocalyptic number.

147520 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 147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176022).

147520 is an abundant number, since it is smaller than the sum of its proper divisors (204524).

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

147520 is an equidigital number, since it uses as much as digits as its factorization.

147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 147520 is about 384.0833242930. The cubic root of 147520 is about 52.8384782269.

The spelling of 147520 in words is "one hundred forty-seven thousand, five hundred twenty".