164712137280 has 112 divisors (see below), whose sum is σ = 523237748544. Its totient is φ = 43899996160.

The previous prime is 164712137263. The next prime is 164712137299. The reversal of 164712137280 is 82731217461.

164712137280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809334 + ... + 1898186.

It is an arithmetic number, because the mean of its divisors is an integer number (4671765612).

Almost surely, 2^164712137280 is an apocalyptic number.

164712137280 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 164712137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261618874272).

164712137280 is an abundant number, since it is smaller than the sum of its proper divisors (358525611264).

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

164712137280 is a wasteful number, since it uses less digits than its factorization.

164712137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90804 (or 90794 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 164712137280 in words is "one hundred sixty-four billion, seven hundred twelve million, one hundred thirty-seven thousand, two hundred eighty".