164140351200 has 432 divisors, whose sum is σ = 677627941536. Its totient is φ = 36602265600.

The previous prime is 164140351157. The next prime is 164140351231. The reversal of 164140351200 is 2153041461.

It is a happy number.

164140351200 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 403 + 51 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2026684 + ... + 2106116.

It is an arithmetic number, because the mean of its divisors is an integer number (1568583198).

Almost surely, 2^164140351200 is an apocalyptic number.

164140351200 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 164140351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338813970768).

164140351200 is an abundant number, since it is smaller than the sum of its proper divisors (513487590336).

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

164140351200 is a wasteful number, since it uses less digits than its factorization.

164140351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79507 (or 79491 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 164140351200 its reverse (2153041461), we get a palindrome (166293392661).

The spelling of 164140351200 in words is "one hundred sixty-four billion, one hundred forty million, three hundred fifty-one thousand, two hundred".