135744265290491 has 16 divisors (see below), whose sum is σ = 167869242320640. Its totient is φ = 107915941487520.

The previous prime is 135744265290457. The next prime is 135744265290497. The reversal of 135744265290491 is 194092562447531.

It is not a de Polignac number, because 135744265290491 - 2⁴⁶ = 65375521112827 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135744265290497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24980539295 + ... + 24980544728.

It is an arithmetic number, because the mean of its divisors is an integer number (10491827645040).

Almost surely, 2^{135744265290491} is an apocalyptic number.

135744265290491 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135744265290491 is a deficient number, since it is larger than the sum of its proper divisors (32124977030149).

135744265290491 is a wasteful number, since it uses less digits than its factorization.

135744265290491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49961084066.

The product of its (nonzero) digits is 65318400, while the sum is 62.

The spelling of 135744265290491 in words is "one hundred thirty-five trillion, seven hundred forty-four billion, two hundred sixty-five million, two hundred ninety thousand, four hundred ninety-one".