191493120 has 352 divisors, whose sum is σ = 759322368. Its totient is φ = 40108032.

The previous prime is 191493109. The next prime is 191493131. The reversal of 191493120 is 21394191.

It is an interprime number because it is at equal distance from previous prime (191493109) and next prime (191493131).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1397692 + ... + 1397828.

Almost surely, 2^191493120 is an apocalyptic number.

191493120 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 191493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379661184).

191493120 is an abundant number, since it is smaller than the sum of its proper divisors (567829248).

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

191493120 is a wasteful number, since it uses less digits than its factorization.

191493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 191493120 is about 13838.1039163608. The cubic root of 191493120 is about 576.3917088666.

The spelling of 191493120 in words is "one hundred ninety-one million, four hundred ninety-three thousand, one hundred twenty".