164132631 has 54 divisors (see below), whose sum is σ = 269569248. Its totient is φ = 96089760.

The previous prime is 164132611. The next prime is 164132681. The reversal of 164132631 is 136231461.

164132631 is a `hidden beast` number, since 16 + 4 + 13 + 2 + 631 = 666.

It is not a de Polignac number, because 164132631 - 2⁵ = 164132599 is a prime.

It is a super-2 number, since 2×164132631² = 53879041117964322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164132595 and 164132604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164132611) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2781880 + ... + 2781938.

Almost surely, 2^164132631 is an apocalyptic number.

164132631 is a deficient number, since it is larger than the sum of its proper divisors (105436617).

164132631 is a wasteful number, since it uses less digits than its factorization.

164132631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 106 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 164132631 is about 12811.4257988719. The cubic root of 164132631 is about 547.5178851979.

It can be divided in two parts, 16413 and 2631, that added together give a square (19044 = 138²).

The spelling of 164132631 in words is "one hundred sixty-four million, one hundred thirty-two thousand, six hundred thirty-one".