147208320 has 256 divisors, whose sum is σ = 596332800. Its totient is φ = 33619968.

The previous prime is 147208319. The next prime is 147208351. The reversal of 147208320 is 23802741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120352 + ... + 121568.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2^147208320 is an apocalyptic number.

147208320 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 147208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298166400).

147208320 is an abundant number, since it is smaller than the sum of its proper divisors (449124480).

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

147208320 is a wasteful number, since it uses less digits than its factorization.

147208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147208320 is about 12132.9435834838. The cubic root of 147208320 is about 528.0123964032.

The spelling of 147208320 in words is "one hundred forty-seven million, two hundred eight thousand, three hundred twenty".