164500140 has 96 divisors (see below), whose sum is σ = 549319680. Its totient is φ = 35963136.

The previous prime is 164500139. The next prime is 164500153. The reversal of 164500140 is 41005461.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146 + ... + 18174.

It is an arithmetic number, because the mean of its divisors is an integer number (5722080).

Almost surely, 2^164500140 is an apocalyptic number.

164500140 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 164500140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274659840).

164500140 is an abundant number, since it is smaller than the sum of its proper divisors (384819540).

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

164500140 is a wasteful number, since it uses less digits than its factorization.

164500140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17071 (or 17069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 164500140 is about 12825.7607961477. The cubic root of 164500140 is about 547.9262292583.

The spelling of 164500140 in words is "one hundred sixty-four million, five hundred thousand, one hundred forty".