135767954423808 has 864 divisors, whose sum is σ = 477874525564800. Its totient is φ = 36258415902720.

The previous prime is 135767954423807. The next prime is 135767954423819. The reversal of 135767954423808 is 808324459767531.

135767954423808 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 6 + 79 + 54 + 423 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (135767954423807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20916335443 + ... + 20916341933.

It is an arithmetic number, because the mean of its divisors is an integer number (553095515700).

It is a 2-persistent number, because it is pandigital, and so is 2⋅135767954423808 = 271535908847616, but 3⋅135767954423808 = 407303863271424 is not.

Almost surely, 2^{135767954423808} is an apocalyptic number.

135767954423808 is a gapful number since it is divisible by the number (18) 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 135767954423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238937262782400).

135767954423808 is an abundant number, since it is smaller than the sum of its proper divisors (342106571140992).

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

135767954423808 is an equidigital number, since it uses as much as digits as its factorization.

135767954423808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 135767954423808 in words is "one hundred thirty-five trillion, seven hundred sixty-seven billion, nine hundred fifty-four million, four hundred twenty-three thousand, eight hundred eight".