149127168 has 128 divisors (see below), whose sum is σ = 418375440. Its totient is φ = 47185920.

The previous prime is 149127149. The next prime is 149127197. The reversal of 149127168 is 861721941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×149127168³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637228 + ... + 3637268.

Almost surely, 2^149127168 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 149127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209187720).

149127168 is an abundant number, since it is smaller than the sum of its proper divisors (269248272).

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

149127168 is an frugal number, since it uses more digits than its factorization.

149127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 149127168 is about 12211.7635090105. The cubic root of 149127168 is about 530.2966987136.

The spelling of 149127168 in words is "one hundred forty-nine million, one hundred twenty-seven thousand, one hundred sixty-eight".