164133720 has 96 divisors (see below), whose sum is σ = 538546320. Its totient is φ = 43349760.

The previous prime is 164133713. The next prime is 164133731. The reversal of 164133720 is 27331461.

164133720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36390 + ... + 40650.

Almost surely, 2^164133720 is an apocalyptic number.

164133720 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 164133720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269273160).

164133720 is an abundant number, since it is smaller than the sum of its proper divisors (374412600).

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

164133720 is a wasteful number, since it uses less digits than its factorization.

164133720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 164133720 is about 12811.4682999257. The cubic root of 164133720 is about 547.5190961001.

The spelling of 164133720 in words is "one hundred sixty-four million, one hundred thirty-three thousand, seven hundred twenty".