191145240 has 384 divisors, whose sum is σ = 754790400. Its totient is φ = 41333760.

The previous prime is 191145221. The next prime is 191145247. The reversal of 191145240 is 42541191.

191145240 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 (191145247) 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, 2419521 + ... + 2419599.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^191145240 is an apocalyptic number.

191145240 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 191145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

191145240 is an abundant number, since it is smaller than the sum of its proper divisors (563645160).

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

191145240 is a wasteful number, since it uses less digits than its factorization.

191145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 191145240 is about 13825.5285613245. The cubic root of 191145240 is about 576.0424592543.

The spelling of 191145240 in words is "one hundred ninety-one million, one hundred forty-five thousand, two hundred forty".