135883881124992 has 1536 divisors, whose sum is σ = 542824524103680. Its totient is φ = 31477248000000.

The previous prime is 135883881124973. The next prime is 135883881125039. The reversal of 135883881124992 is 299421188388531.

135883881124992 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 8 + 388 + 112 + 49 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 135883881124992.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24701666242 + ... + 24701671742.

It is an arithmetic number, because the mean of its divisors is an integer number (353401382880).

Almost surely, 2^{135883881124992} is an apocalyptic number.

135883881124992 is a gapful number since it is divisible by the number (12) 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 135883881124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271412262051840).

135883881124992 is an abundant number, since it is smaller than the sum of its proper divisors (406940642978688).

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

135883881124992 is a wasteful number, since it uses less digits than its factorization.

135883881124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6259 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 72.

The spelling of 135883881124992 in words is "one hundred thirty-five trillion, eight hundred eighty-three billion, eight hundred eighty-one million, one hundred twenty-four thousand, nine hundred ninety-two".