14135733753141 has 288 divisors, whose sum is σ = 26714304372096. Its totient is φ = 6566676480000.

The previous prime is 14135733753091. The next prime is 14135733753143.

14135733753141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14135733753141 - 2¹⁵ = 14135733720373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135733753143) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2436772441 + ... + 2436778241.

It is an arithmetic number, because the mean of its divisors is an integer number (92758001292).

Almost surely, 2^{14135733753141} is an apocalyptic number.

14135733753141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14135733753141 is a deficient number, since it is larger than the sum of its proper divisors (12578570618955).

14135733753141 is a wasteful number, since it uses less digits than its factorization.

14135733753141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6113 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The spelling of 14135733753141 in words is "fourteen trillion, one hundred thirty-five billion, seven hundred thirty-three million, seven hundred fifty-three thousand, one hundred forty-one".