191190144 has 64 divisors (see below), whose sum is σ = 524263680. Its totient is φ = 61670400.

The previous prime is 191190091. The next prime is 191190151. The reversal of 191190144 is 441091191.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3874 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (8191620).

Almost surely, 2^191190144 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 191190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262131840).

191190144 is an abundant number, since it is smaller than the sum of its proper divisors (333073536).

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

191190144 is a wasteful number, since it uses less digits than its factorization.

191190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16109 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 191190144 is about 13827.1524183398. The cubic root of 191190144 is about 576.0875638483.

The spelling of 191190144 in words is "one hundred ninety-one million, one hundred ninety thousand, one hundred forty-four".