191125440 has 224 divisors, whose sum is σ = 735909120. Its totient is φ = 46310400.

The previous prime is 191125421. The next prime is 191125471. The reversal of 191125440 is 44521191.

191125440 is a `hidden beast` number, since 1 + 9 + 112 + 544 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94035 + ... + 96045.

Almost surely, 2^191125440 is an apocalyptic number.

191125440 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 191125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367954560).

191125440 is an abundant number, since it is smaller than the sum of its proper divisors (544783680).

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

191125440 is a wasteful number, since it uses less digits than its factorization.

191125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

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

The square root of 191125440 is about 13824.8124761242. The cubic root of 191125440 is about 576.0225685602.

The spelling of 191125440 in words is "one hundred ninety-one million, one hundred twenty-five thousand, four hundred forty".