147048800 has 72 divisors (see below), whose sum is σ = 360664416. Its totient is φ = 58544640.

The previous prime is 147048787. The next prime is 147048817. The reversal of 147048800 is 8840741.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317369 + ... + 317831.

It is an arithmetic number, because the mean of its divisors is an integer number (5009228).

Almost surely, 2^147048800 is an apocalyptic number.

147048800 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 147048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180332208).

147048800 is an abundant number, since it is smaller than the sum of its proper divisors (213615616).

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

147048800 is a wasteful number, since it uses less digits than its factorization.

147048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 147048800 is about 12126.3679640690. The cubic root of 147048800 is about 527.8216033372.

The spelling of 147048800 in words is "one hundred forty-seven million, forty-eight thousand, eight hundred".