164140251 has 40 divisors (see below), whose sum is σ = 249691920. Its totient is φ = 95832000.

The previous prime is 164140217. The next prime is 164140267. The reversal of 164140251 is 152041461.

It is a happy number.

164140251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164140251 - 2⁶ = 164140187 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164140201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1625101 + ... + 1625201.

It is an arithmetic number, because the mean of its divisors is an integer number (6242298).

Almost surely, 2^164140251 is an apocalyptic number.

164140251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164140251 is a deficient number, since it is larger than the sum of its proper divisors (85551669).

164140251 is an equidigital number, since it uses as much as digits as its factorization.

164140251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

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

The square root of 164140251 is about 12811.7231862072. The cubic root of 164140251 is about 547.5263580647.

The spelling of 164140251 in words is "one hundred sixty-four million, one hundred forty thousand, two hundred fifty-one".