147165369120 has 864 divisors, whose sum is σ = 642979524096. Its totient is φ = 30560302080.

The previous prime is 147165369077. The next prime is 147165369137. The reversal of 147165369120 is 21963561741.

147165369120 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 6 + 536 + 91 + 20 = 666.

147165369120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 93914577 + ... + 93916143.

It is an arithmetic number, because the mean of its divisors is an integer number (744189264).

Almost surely, 2^147165369120 is an apocalyptic number.

147165369120 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 147165369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321489762048).

147165369120 is an abundant number, since it is smaller than the sum of its proper divisors (495814154976).

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

147165369120 is a wasteful number, since it uses less digits than its factorization.

147165369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 147165369120 in words is "one hundred forty-seven billion, one hundred sixty-five million, three hundred sixty-nine thousand, one hundred twenty".