147571968000 has 768 divisors, whose sum is σ = 529862860800. Its totient is φ = 36333158400.

The previous prime is 147571967971. The next prime is 147571968007. The reversal of 147571968000 is 869175741.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147571968007) 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, 1161983937 + ... + 1161984063.

It is an arithmetic number, because the mean of its divisors is an integer number (689925600).

Almost surely, 2^147571968000 is an apocalyptic number.

147571968000 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 147571968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264931430400).

147571968000 is an abundant number, since it is smaller than the sum of its proper divisors (382290892800).

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

147571968000 is a wasteful number, since it uses less digits than its factorization.

147571968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 147571968000 in words is "one hundred forty-seven billion, five hundred seventy-one million, nine hundred sixty-eight thousand".