191134080 has 192 divisors, whose sum is σ = 685011600. Its totient is φ = 50927616.

The previous prime is 191134067. The next prime is 191134093. The reversal of 191134080 is 80431191.

191134080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (191134067) and next prime (191134093).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154906 + ... + 156134.

Almost surely, 2^191134080 is an apocalyptic number.

191134080 is a gapful number since it is divisible by the number (10) 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 191134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342505800).

191134080 is an abundant number, since it is smaller than the sum of its proper divisors (493877520).

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

191134080 is an equidigital number, since it uses as much as digits as its factorization.

191134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 191134080 is about 13825.1249542274. The cubic root of 191134080 is about 576.0312483047.

The spelling of 191134080 in words is "one hundred ninety-one million, one hundred thirty-four thousand, eighty".