147165120960 has 896 divisors, whose sum is σ = 578886303744. Its totient is φ = 31167037440.

The previous prime is 147165120959. The next prime is 147165120961. The reversal of 147165120960 is 69021561741.

147165120960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147165120959) and next prime (147165120961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147165120961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400994697 + ... + 400995063.

It is an arithmetic number, because the mean of its divisors is an integer number (646078464).

Almost surely, 2^147165120960 is an apocalyptic number.

147165120960 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 147165120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289443151872).

147165120960 is an abundant number, since it is smaller than the sum of its proper divisors (431721182784).

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

147165120960 is a wasteful number, since it uses less digits than its factorization.

147165120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 147165120960 in words is "one hundred forty-seven billion, one hundred sixty-five million, one hundred twenty thousand, nine hundred sixty".