135256310640 has 240 divisors, whose sum is σ = 499435462656. Its totient is φ = 32530982400.

The previous prime is 135256310627. The next prime is 135256310699. The reversal of 135256310640 is 46013652531.

135256310640 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 6 + 3 + 1 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135256310595 and 135256310604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 938605 + ... + 1073075.

Almost surely, 2^135256310640 is an apocalyptic number.

135256310640 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 135256310640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249717731328).

135256310640 is an abundant number, since it is smaller than the sum of its proper divisors (364179152016).

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

135256310640 is a wasteful number, since it uses less digits than its factorization.

135256310640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134628 (or 134619 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135256310640 in words is "one hundred thirty-five billion, two hundred fifty-six million, three hundred ten thousand, six hundred forty".