191134944 has 576 divisors, whose sum is σ = 796884480. Its totient is φ = 43130880.

The previous prime is 191134943. The next prime is 191134949. The reversal of 191134944 is 449431191.

191134944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 191134899 and 191134908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191134943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11243224 + ... + 11243240.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^191134944 is an apocalyptic number.

191134944 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 191134944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398442240).

191134944 is an abundant number, since it is smaller than the sum of its proper divisors (605749536).

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

191134944 is a wasteful number, since it uses less digits than its factorization.

191134944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 191134944 is about 13825.1562016492. The cubic root of 191134944 is about 576.0321162648.

The spelling of 191134944 in words is "one hundred ninety-one million, one hundred thirty-four thousand, nine hundred forty-four".