191045088 has 192 divisors, whose sum is σ = 610908480. Its totient is φ = 57729024.

The previous prime is 191045059. The next prime is 191045119. The reversal of 191045088 is 880540191.

191045088 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819820 + ... + 820052.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 2^191045088 is an apocalyptic number.

191045088 is a gapful number since it is divisible by the number (18) 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 191045088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

191045088 is an abundant number, since it is smaller than the sum of its proper divisors (419863392).

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

191045088 is a wasteful number, since it uses less digits than its factorization.

191045088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 191045088 is about 13821.9060914188. The cubic root of 191045088 is about 575.9418344043.

The spelling of 191045088 in words is "one hundred ninety-one million, forty-five thousand, eighty-eight".