147355320 has 192 divisors, whose sum is σ = 537569280. Its totient is φ = 31647744.

The previous prime is 147355309. The next prime is 147355339. The reversal of 147355320 is 23553741.

It is a Cunningham number, because it is equal to 12139²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242457 + ... + 243063.

It is an arithmetic number, because the mean of its divisors is an integer number (2799840).

Almost surely, 2^147355320 is an apocalyptic number.

147355320 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 147355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268784640).

147355320 is an abundant number, since it is smaller than the sum of its proper divisors (390213960).

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

147355320 is a wasteful number, since it uses less digits than its factorization.

147355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 147355320 is about 12138.9999588104. Note that the first 4 decimals coincide. The cubic root of 147355320 is about 528.1880929956.

The spelling of 147355320 in words is "one hundred forty-seven million, three hundred fifty-five thousand, three hundred twenty".