164215140 has 48 divisors (see below), whose sum is σ = 460743360. Its totient is φ = 43701120.

The previous prime is 164215123. The next prime is 164215141. The reversal of 164215140 is 41512461.

It is a happy number.

164215140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164215140² = 53933224410439200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164215140.

It is not an unprimeable number, because it can be changed into a prime (164215141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29931 + ... + 34989.

It is an arithmetic number, because the mean of its divisors is an integer number (9598820).

Almost surely, 2^164215140 is an apocalyptic number.

164215140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164215140 is an abundant number, since it is smaller than the sum of its proper divisors (296528220).

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

164215140 is a wasteful number, since it uses less digits than its factorization.

164215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164215140 is about 12814.6455276765. The cubic root of 164215140 is about 547.6096150492.

It can be divided in two parts, 16 and 4215140, that added together give a triangular number (4215156 = T₂₉₀₃).

The spelling of 164215140 in words is "one hundred sixty-four million, two hundred fifteen thousand, one hundred forty".