164140125 has 32 divisors (see below), whose sum is σ = 274869504. Its totient is φ = 86984000.

The previous prime is 164140063. The next prime is 164140147. The reversal of 164140125 is 521041461.

It is a happy number.

It is not a de Polignac number, because 164140125 - 2¹⁵ = 164107357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164140095 and 164140104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61315 + ... + 63935.

It is an arithmetic number, because the mean of its divisors is an integer number (8589672).

Almost surely, 2^164140125 is an apocalyptic number.

164140125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164140125 is a deficient number, since it is larger than the sum of its proper divisors (110729379).

164140125 is a wasteful number, since it uses less digits than its factorization.

164140125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164140125 is about 12811.7182688350. The cubic root of 164140125 is about 547.5262179643.

Adding to 164140125 its reverse (521041461), we get a palindrome (685181586).

The spelling of 164140125 in words is "one hundred sixty-four million, one hundred forty thousand, one hundred twenty-five".