164295132 has 24 divisors (see below), whose sum is σ = 383892096. Its totient is φ = 54688368.

The previous prime is 164295119. The next prime is 164295137. The reversal of 164295132 is 231592461.

It is a junction number, because it is equal to n+sod(n) for n = 164295093 and 164295102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164295137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298 + ... + 18129.

It is an arithmetic number, because the mean of its divisors is an integer number (15995504).

Almost surely, 2^164295132 is an apocalyptic number.

164295132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164295132 is an abundant number, since it is smaller than the sum of its proper divisors (219596964).

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

164295132 is a wasteful number, since it uses less digits than its factorization.

164295132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19177 (or 19175 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 164295132 is about 12817.7662640571. The cubic root of 164295132 is about 547.6985172816.

It can be divided in two parts, 164 and 295132, that added together give a triangular number (295296 = T₇₆₈).

The spelling of 164295132 in words is "one hundred sixty-four million, two hundred ninety-five thousand, one hundred thirty-two".