164133632 has 72 divisors (see below), whose sum is σ = 356269200. Its totient is φ = 75018240.

The previous prime is 164133601. The next prime is 164133637. The reversal of 164133632 is 236331461.

164133632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164133632² = 53879698307022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164133595 and 164133604.

It is not an unprimeable number, because it can be changed into a prime (164133637) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 495707 + ... + 496037.

Almost surely, 2^164133632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178134600).

164133632 is an abundant number, since it is smaller than the sum of its proper divisors (192135568).

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

164133632 is a wasteful number, since it uses less digits than its factorization.

164133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 164133632 is about 12811.4648655023. The cubic root of 164133632 is about 547.5189982496.

The spelling of 164133632 in words is "one hundred sixty-four million, one hundred thirty-three thousand, six hundred thirty-two".