164156160 has 288 divisors, whose sum is σ = 621637632. Its totient is φ = 36126720.

The previous prime is 164156149. The next prime is 164156183. The reversal of 164156160 is 61651461.

It is a super-3 number, since 3×164156160³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833182 + ... + 833378.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 2^164156160 is an apocalyptic number.

164156160 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 164156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310818816).

164156160 is an abundant number, since it is smaller than the sum of its proper divisors (457481472).

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

164156160 is a wasteful number, since it uses less digits than its factorization.

164156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 164156160 is about 12812.3440478314. The cubic root of 164156160 is about 547.5440468306.

The spelling of 164156160 in words is "one hundred sixty-four million, one hundred fifty-six thousand, one hundred sixty".