147852864000 has 560 divisors, whose sum is σ = 552942098280. Its totient is φ = 39414988800.

The previous prime is 147852863941. The next prime is 147852864013. The reversal of 147852864000 is 468258741.

147852864000 is a `hidden beast` number, since 14 + 78 + 528 + 6 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68761426176 + 79091437824 = 262224^2 + 281232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46654416 + ... + 46657584.

Almost surely, 2^147852864000 is an apocalyptic number.

147852864000 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 147852864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276471049140).

147852864000 is an abundant number, since it is smaller than the sum of its proper divisors (405089234280).

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

147852864000 is an frugal number, since it uses more digits than its factorization.

147852864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 147852864000 in words is "one hundred forty-seven billion, eight hundred fifty-two million, eight hundred sixty-four thousand".