135104763691008 has 1152 divisors, whose sum is σ = 421257914663040. Its totient is φ = 43302023331840.

The previous prime is 135104763690929. The next prime is 135104763691013. The reversal of 135104763691008 is 800196367401531.

135104763691008 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 476 + 3 + 69 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×135104763691008² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809010560941 + ... + 809010561107.

It is an arithmetic number, because the mean of its divisors is an integer number (365675273145).

Almost surely, 2^{135104763691008} is an apocalyptic number.

135104763691008 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 135104763691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210628957331520).

135104763691008 is an abundant number, since it is smaller than the sum of its proper divisors (286153150972032).

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

135104763691008 is an frugal number, since it uses more digits than its factorization.

135104763691008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 135104763691008 in words is "one hundred thirty-five trillion, one hundred four billion, seven hundred sixty-three million, six hundred ninety-one thousand, eight".