135478640640 has 640 divisors, whose sum is σ = 521838028800. Its totient is φ = 29343350784.

The previous prime is 135478640639. The next prime is 135478640653. The reversal of 135478640640 is 46046874531.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135478640640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266155467 + ... + 1266155573.

It is an arithmetic number, because the mean of its divisors is an integer number (815371920).

Almost surely, 2^135478640640 is an apocalyptic number.

135478640640 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 135478640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260919014400).

135478640640 is an abundant number, since it is smaller than the sum of its proper divisors (386359388160).

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

135478640640 is an frugal number, since it uses more digits than its factorization.

135478640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 135478640640 in words is "one hundred thirty-five billion, four hundred seventy-eight million, six hundred forty thousand, six hundred forty".