135791800300431 has 16 divisors (see below), whose sum is σ = 219461495435520. Its totient is φ = 82298060787960.

The previous prime is 135791800300327. The next prime is 135791800300573. The reversal of 135791800300431 is 134003008197531.

135791800300431 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 9 + 180 + 0 + 30 + 0 + 431 = 666.

It is not a de Polignac number, because 135791800300431 - 2³⁸ = 135516922393487 is a prime.

It is a super-2 number, since 2×135791800300431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135791802300431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228605724115 + ... + 228605724708.

It is an arithmetic number, because the mean of its divisors is an integer number (13716343464720).

Almost surely, 2^{135791800300431} is an apocalyptic number.

135791800300431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135791800300431 is a deficient number, since it is larger than the sum of its proper divisors (83669695135089).

135791800300431 is a wasteful number, since it uses less digits than its factorization.

135791800300431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457211448843 (or 457211448837 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

Adding to 135791800300431 its reverse (134003008197531), we get a palindrome (269794808497962).

The spelling of 135791800300431 in words is "one hundred thirty-five trillion, seven hundred ninety-one billion, eight hundred million, three hundred thousand, four hundred thirty-one".