135834546032640 has 3744 divisors, whose sum is σ = 625945882302720. Its totient is φ = 27211789762560.

The previous prime is 135834546032579. The next prime is 135834546032641. The reversal of 135834546032640 is 46230645438531.

135834546032640 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 3 + 4 + 5 + 4 + 603 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135834546032641) 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, 2562915962854 + ... + 2562915962906.

Almost surely, 2^{135834546032640} is an apocalyptic number.

135834546032640 is a gapful number since it is divisible by the number (10) 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 135834546032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312972941151360).

135834546032640 is an abundant number, since it is smaller than the sum of its proper divisors (490111336270080).

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

135834546032640 is an equidigital number, since it uses as much as digits as its factorization.

135834546032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 135834546032640 in words is "one hundred thirty-five trillion, eight hundred thirty-four billion, five hundred forty-six million, thirty-two thousand, six hundred forty".