135281872656 has 400 divisors, whose sum is σ = 471389670400. Its totient is φ = 37401315840.

The previous prime is 135281872613. The next prime is 135281872679. The reversal of 135281872656 is 656278182531.

135281872656 is a `hidden beast` number, since 13 + 528 + 1 + 87 + 26 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13775460 + ... + 13785276.

It is an arithmetic number, because the mean of its divisors is an integer number (1178474176).

Almost surely, 2^135281872656 is an apocalyptic number.

135281872656 is a gapful number since it is divisible by the number (16) 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 135281872656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235694835200).

135281872656 is an abundant number, since it is smaller than the sum of its proper divisors (336107797744).

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

135281872656 is an equidigital number, since it uses as much as digits as its factorization.

135281872656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9860 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 135281872656 in words is "one hundred thirty-five billion, two hundred eighty-one million, eight hundred seventy-two thousand, six hundred fifty-six".