164151936000 has 1056 divisors, whose sum is σ = 649299032928. Its totient is φ = 39636172800.

The previous prime is 164151935999. The next prime is 164151936041. The reversal of 164151936000 is 639151461.

164151936000 is a `hidden beast` number, since 1 + 6 + 41 + 5 + 1 + 9 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 164044440576 + 107495424 = 405024^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1452671944 + ... + 1452672056.

Almost surely, 2^164151936000 is an apocalyptic number.

164151936000 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 164151936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324649516464).

164151936000 is an abundant number, since it is smaller than the sum of its proper divisors (485147096928).

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

164151936000 is a wasteful number, since it uses less digits than its factorization.

164151936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 164151936000 in words is "one hundred sixty-four billion, one hundred fifty-one million, nine hundred thirty-six thousand".