135844784087040 has 1344 divisors, whose sum is σ = 571095262273536. Its totient is φ = 30327468982272.

The previous prime is 135844784086909. The next prime is 135844784087069. The reversal of 135844784087040 is 40780487448531.

135844784087040 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 4 + 478 + 40 + 87 + 0 + 40 = 666.

135844784087040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2995914609 + ... + 2995959951.

It is an arithmetic number, because the mean of its divisors is an integer number (424922070144).

Almost surely, 2^{135844784087040} is an apocalyptic number.

135844784087040 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 135844784087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285547631136768).

135844784087040 is an abundant number, since it is smaller than the sum of its proper divisors (435250478186496).

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

135844784087040 is an frugal number, since it uses more digits than its factorization.

135844784087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45439 (or 45403 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 135844784087040 in words is "one hundred thirty-five trillion, eight hundred forty-four billion, seven hundred eighty-four million, eighty-seven thousand, forty".