164434752 has 112 divisors (see below), whose sum is σ = 494873280. Its totient is φ = 53512704.

The previous prime is 164434747. The next prime is 164434799. The reversal of 164434752 is 257434461.

164434752 is a `hidden beast` number, since 1 + 644 + 3 + 4 + 7 + 5 + 2 = 666.

It is a super-3 number, since 3×164434752³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73198 + ... + 75410.

Almost surely, 2^164434752 is an apocalyptic number.

164434752 is a gapful number since it is divisible by the number (12) 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 164434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247436640).

164434752 is an abundant number, since it is smaller than the sum of its proper divisors (330438528).

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

164434752 is a wasteful number, since it uses less digits than its factorization.

164434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2261 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 164434752 is about 12823.2114542341. The cubic root of 164434752 is about 547.8536203060.

The spelling of 164434752 in words is "one hundred sixty-four million, four hundred thirty-four thousand, seven hundred fifty-two".