164250144 has 72 divisors (see below), whose sum is σ = 468769392. Its totient is φ = 54552960.

The previous prime is 164250089. The next prime is 164250157. The reversal of 164250144 is 441052461.

164250144 is a `hidden beast` number, since 1 + 642 + 5 + 0 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94467 + ... + 96189.

It is an arithmetic number, because the mean of its divisors is an integer number (6510686).

Almost surely, 2^164250144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234384696).

164250144 is an abundant number, since it is smaller than the sum of its proper divisors (304519248).

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

164250144 is a wasteful number, since it uses less digits than its factorization.

164250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164250144 is about 12816.0112359501. The cubic root of 164250144 is about 547.6485216631.

The spelling of 164250144 in words is "one hundred sixty-four million, two hundred fifty thousand, one hundred forty-four".