191152864 has 48 divisors (see below), whose sum is σ = 434095200. Its totient is φ = 81160704.

The previous prime is 191152849. The next prime is 191152867. The reversal of 191152864 is 468251191.

191152864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191152867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20502 + ... + 28330.

It is an arithmetic number, because the mean of its divisors is an integer number (9043650).

Almost surely, 2^191152864 is an apocalyptic number.

191152864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217047600).

191152864 is an abundant number, since it is smaller than the sum of its proper divisors (242942336).

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

191152864 is a wasteful number, since it uses less digits than its factorization.

191152864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7947 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 191152864 is about 13825.8042804026. The cubic root of 191152864 is about 576.0501178099.

The spelling of 191152864 in words is "one hundred ninety-one million, one hundred fifty-two thousand, eight hundred sixty-four".