164502643140 has 288 divisors, whose sum is σ = 549941543424. Its totient is φ = 39471943680.

The previous prime is 164502643133. The next prime is 164502643229. The reversal of 164502643140 is 41346205461.

164502643140 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 2 + 643 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×164502643140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164502643095 and 164502643104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123965157 + ... + 123966483.

It is an arithmetic number, because the mean of its divisors is an integer number (1909519248).

Almost surely, 2^164502643140 is an apocalyptic number.

164502643140 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 164502643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274970771712).

164502643140 is an abundant number, since it is smaller than the sum of its proper divisors (385438900284).

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

164502643140 is a wasteful number, since it uses less digits than its factorization.

164502643140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 164502643140 in words is "one hundred sixty-four billion, five hundred two million, six hundred forty-three thousand, one hundred forty".