164364132 has 48 divisors (see below), whose sum is σ = 393785280. Its totient is φ = 53340672.

The previous prime is 164364131. The next prime is 164364181. The reversal of 164364132 is 231463461.

It is a super-2 number, since 2×164364132² = 54031135776226848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164364132.

It is not an unprimeable number, because it can be changed into a prime (164364131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70408 + ... + 72704.

It is an arithmetic number, because the mean of its divisors is an integer number (8203860).

Almost surely, 2^164364132 is an apocalyptic number.

164364132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164364132 is an abundant number, since it is smaller than the sum of its proper divisors (229421148).

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

164364132 is a wasteful number, since it uses less digits than its factorization.

164364132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2458 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 164364132 is about 12820.4575581373. The cubic root of 164364132 is about 547.7751799476.

The spelling of 164364132 in words is "one hundred sixty-four million, three hundred sixty-four thousand, one hundred thirty-two".