135824092183440 has 200 divisors, whose sum is σ = 472499303823360. Its totient is φ = 36161243506944.

The previous prime is 135824092183399. The next prime is 135824092183441. The reversal of 135824092183440 is 44381290428531.

It is a happy number.

135824092183440 is a `hidden beast` number, since 1 + 3 + 5 + 82 + 4 + 0 + 9 + 218 + 344 + 0 = 666.

It is a super-2 number, since 2×135824092183440² (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 not an unprimeable number, because it can be changed into a prime (135824092183441) 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 39 ways as a sum of consecutive naturals, for example, 12919824 + ... + 20942063.

Almost surely, 2^{135824092183440} is an apocalyptic number.

135824092183440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135824092183440 is an abundant number, since it is smaller than the sum of its proper divisors (336675211639920).

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

135824092183440 is a wasteful number, since it uses less digits than its factorization.

135824092183440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33862531 (or 33862516 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 135824092183440 in words is "one hundred thirty-five trillion, eight hundred twenty-four billion, ninety-two million, one hundred eighty-three thousand, four hundred forty".