164130316900 has 243 divisors, whose sum is σ = 408667344267. Its totient is φ = 57171945600.

The previous prime is 164130316877. The next prime is 164130316919. The reversal of 164130316900 is 9613031461.

It is a happy number.

The square root of 164130316900 is 405130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2256060004 + 161874256896 = 47498^2 + 402336^2 .

It is a super-2 number, since 2×164130316900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1292364637 + ... + 1292364763.

Almost surely, 2^164130316900 is an apocalyptic number.

164130316900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164130316900 is the 405130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164130316900

164130316900 is an abundant number, since it is smaller than the sum of its proper divisors (244537027367).

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

164130316900 is a wasteful number, since it uses less digits than its factorization.

164130316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 164130316900 in words is "one hundred sixty-four billion, one hundred thirty million, three hundred sixteen thousand, nine hundred".