147200 has 54 divisors (see below), whose sum is σ = 380184. Its totient is φ = 56320.

The previous prime is 147197. The next prime is 147209. The reversal of 147200 is 2741.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6389 + ... + 6411.

2¹⁴⁷²⁰⁰ is an apocalyptic number.

147200 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 147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190092).

147200 is an abundant number, since it is smaller than the sum of its proper divisors (232984).

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

147200 is an equidigital number, since it uses as much as digits as its factorization.

147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 147200 is about 383.6665218650. Note that the first 3 decimals coincide. The cubic root of 147200 is about 52.8002448718.

Adding to 147200 its reverse (2741), we get a palindrome (149941).

The spelling of 147200 in words is "one hundred forty-seven thousand, two hundred", and thus it is an iban number.