164437131640 has 32 divisors (see below), whose sum is σ = 372027670560. Its totient is φ = 65411452800.

The previous prime is 164437131619. The next prime is 164437131653. The reversal of 164437131640 is 46131734461.

It is a happy number.

It is a super-3 number, since 3×164437131640³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 164437131593 and 164437131602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11348916 + ... + 11363395.

It is an arithmetic number, because the mean of its divisors is an integer number (11625864705).

Almost surely, 2^164437131640 is an apocalyptic number.

164437131640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164437131640 is an abundant number, since it is smaller than the sum of its proper divisors (207590538920).

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

164437131640 is a wasteful number, since it uses less digits than its factorization.

164437131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22712503 (or 22712499 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 164437131640 in words is "one hundred sixty-four billion, four hundred thirty-seven million, one hundred thirty-one thousand, six hundred forty".