164335140 has 36 divisors (see below), whose sum is σ = 498483804. Its totient is φ = 43822656.

The previous prime is 164335117. The next prime is 164335151. The reversal of 164335140 is 41533461.

164335140 is a `hidden beast` number, since 1 + 643 + 3 + 5 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 118853604 = 6744^2 + 10902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456307 + ... + 456666.

Almost surely, 2^164335140 is an apocalyptic number.

164335140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164335140 is an abundant number, since it is smaller than the sum of its proper divisors (334148664).

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

164335140 is a wasteful number, since it uses less digits than its factorization.

164335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912988 (or 912983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164335140 is about 12819.3268153987. The cubic root of 164335140 is about 547.7429709093.

The spelling of 164335140 in words is "one hundred sixty-four million, three hundred thirty-five thousand, one hundred forty".