135982039818240 has 6272 divisors, whose sum is σ = 668360972851200. Its totient is φ = 26219328307200.

The previous prime is 135982039818187. The next prime is 135982039818253. The reversal of 135982039818240 is 42818930289531.

135982039818240 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 8 + 20 + 398 + 182 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6272).

It is a super-2 number, since 2×135982039818240² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1915239997405 + ... + 1915239997475.

Almost surely, 2^{135982039818240} is an apocalyptic number.

135982039818240 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 135982039818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334180486425600).

135982039818240 is an abundant number, since it is smaller than the sum of its proper divisors (532378933032960).

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

135982039818240 is an frugal number, since it uses more digits than its factorization.

135982039818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 135982039818240 in words is "one hundred thirty-five trillion, nine hundred eighty-two billion, thirty-nine million, eight hundred eighteen thousand, two hundred forty".