135664381440 has 640 divisors, whose sum is σ = 553893120000. Its totient is φ = 30831280128.

The previous prime is 135664381417. The next prime is 135664381453. The reversal of 135664381440 is 44183466531.

135664381440 is a `hidden beast` number, since 1 + 3 + 566 + 4 + 3 + 81 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96283456 + ... + 96284864.

It is an arithmetic number, because the mean of its divisors is an integer number (865458000).

Almost surely, 2^135664381440 is an apocalyptic number.

135664381440 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 135664381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276946560000).

135664381440 is an abundant number, since it is smaller than the sum of its proper divisors (418228738560).

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

135664381440 is a wasteful number, since it uses less digits than its factorization.

135664381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 135664381440 in words is "one hundred thirty-five billion, six hundred sixty-four million, three hundred eighty-one thousand, four hundred forty".