164133220765200 has 120 divisors (see below), whose sum is σ = 527713541540736. Its totient is φ = 43607350080000.

The previous prime is 164133220765177. The next prime is 164133220765201. The reversal of 164133220765200 is 2567022331461.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (164133220765201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252032151 + ... + 252682550.

Almost surely, 2^{164133220765200} is an apocalyptic number.

164133220765200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164133220765200 is an abundant number, since it is smaller than the sum of its proper divisors (363580320775536).

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

164133220765200 is a wasteful number, since it uses less digits than its factorization.

164133220765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504714993 (or 504714982 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 164133220765200 in words is "one hundred sixty-four trillion, one hundred thirty-three billion, two hundred twenty million, seven hundred sixty-five thousand, two hundred".