191540268144 has 30 divisors (see below), whose sum is σ = 536046723056. Its totient is φ = 63846756000.

The previous prime is 191540268131. The next prime is 191540268197. The reversal of 191540268144 is 441862045191.

191540268144 is a `hidden beast` number, since 1 + 9 + 1 + 540 + 2 + 68 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 191540268144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665070232 + ... + 665070519.

Almost surely, 2^191540268144 is an apocalyptic number.

It is an amenable number.

191540268144 is an abundant number, since it is smaller than the sum of its proper divisors (344506454912).

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

191540268144 is a wasteful number, since it uses less digits than its factorization.

191540268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330140765 (or 1330140756 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 191540 and 268144, that added together give a square (459684 = 678²).

The spelling of 191540268144 in words is "one hundred ninety-one billion, five hundred forty million, two hundred sixty-eight thousand, one hundred forty-four".