164564133700 has 288 divisors, whose sum is σ = 387575193600. Its totient is φ = 60540480000.

The previous prime is 164564133653. The next prime is 164564133731. The reversal of 164564133700 is 7331465461.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1089828625 + ... + 1089828775.

It is an arithmetic number, because the mean of its divisors is an integer number (1345747200).

Almost surely, 2^164564133700 is an apocalyptic number.

164564133700 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 164564133700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193787596800).

164564133700 is an abundant number, since it is smaller than the sum of its proper divisors (223011059900).

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

164564133700 is a wasteful number, since it uses less digits than its factorization.

164564133700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 164564133700 in words is "one hundred sixty-four billion, five hundred sixty-four million, one hundred thirty-three thousand, seven hundred".