164145296 has 60 divisors (see below), whose sum is σ = 386082432. Its totient is φ = 67281984.

The previous prime is 164145253. The next prime is 164145299. The reversal of 164145296 is 692541461.

It is not an unprimeable number, because it can be changed into a prime (164145299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13481 + ... + 22583.

Almost surely, 2^164145296 is an apocalyptic number.

164145296 is a gapful number since it is divisible by the number (16) 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 164145296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193041216).

164145296 is an abundant number, since it is smaller than the sum of its proper divisors (221937136).

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

164145296 is a wasteful number, since it uses less digits than its factorization.

164145296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9135 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 164145296 is about 12811.9200746805. The cubic root of 164145296 is about 547.5319675808.

It can be divided in two parts, 16 and 4145296, that multiplied together give a square (66324736 = 8144²).

The spelling of 164145296 in words is "one hundred sixty-four million, one hundred forty-five thousand, two hundred ninety-six".