147090168960 has 1024 divisors, whose sum is σ = 617037004800. Its totient is φ = 28983951360.

The previous prime is 147090168959. The next prime is 147090168983. The reversal of 147090168960 is 69861090741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134574174 + ... + 134575266.

It is an arithmetic number, because the mean of its divisors is an integer number (602575200).

Almost surely, 2^147090168960 is an apocalyptic number.

147090168960 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 147090168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308518502400).

147090168960 is an abundant number, since it is smaller than the sum of its proper divisors (469946835840).

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

147090168960 is a wasteful number, since it uses less digits than its factorization.

147090168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 147090168960 in words is "one hundred forty-seven billion, ninety million, one hundred sixty-eight thousand, nine hundred sixty".