147301228632320 has 576 divisors, whose sum is σ = 417002421169152. Its totient is φ = 48798941184000.

The previous prime is 147301228632289. The next prime is 147301228632329. The reversal of 147301228632320 is 23236822103741.

It is not an unprimeable number, because it can be changed into a prime (147301228632329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61865277530 + ... + 61865279910.

It is an arithmetic number, because the mean of its divisors is an integer number (723962536752).

Almost surely, 2^{147301228632320} is an apocalyptic number.

147301228632320 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 147301228632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208501210584576).

147301228632320 is an abundant number, since it is smaller than the sum of its proper divisors (269701192536832).

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

147301228632320 is a wasteful number, since it uses less digits than its factorization.

147301228632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 147301228632320 in words is "one hundred forty-seven trillion, three hundred one billion, two hundred twenty-eight million, six hundred thirty-two thousand, three hundred twenty".