164758132 has 48 divisors (see below), whose sum is σ = 366291072. Its totient is φ = 62974080.

The previous prime is 164758103. The next prime is 164758141. The reversal of 164758132 is 231857461.

It is a junction number, because it is equal to n+sod(n) for n = 164758091 and 164758100.

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, 11278 + ... + 21370.

It is an arithmetic number, because the mean of its divisors is an integer number (7631064).

Almost surely, 2^164758132 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 164758132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183145536).

164758132 is an abundant number, since it is smaller than the sum of its proper divisors (201532940).

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

164758132 is a wasteful number, since it uses less digits than its factorization.

164758132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10166 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 164758132 is about 12835.8144268293. The cubic root of 164758132 is about 548.2125243492.

It can be divided in two parts, 164 and 758132, that added together give a triangular number (758296 = T₁₂₃₁).

The spelling of 164758132 in words is "one hundred sixty-four million, seven hundred fifty-eight thousand, one hundred thirty-two".