135050611832640 has 2688 divisors, whose sum is σ = 604212111360000. Its totient is φ = 28206261780480.

The previous prime is 135050611832557. The next prime is 135050611832821. The reversal of 135050611832640 is 46238116050531.

135050611832640 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 0 + 611 + 8 + 3 + 26 + 4 + 0 = 666.

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 (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94507075446 + ... + 94507076874.

Almost surely, 2^{135050611832640} is an apocalyptic number.

135050611832640 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 135050611832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302106055680000).

135050611832640 is an abundant number, since it is smaller than the sum of its proper divisors (469161499527360).

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

135050611832640 is a wasteful number, since it uses less digits than its factorization.

135050611832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135050611832640 in words is "one hundred thirty-five trillion, fifty billion, six hundred eleven million, eight hundred thirty-two thousand, six hundred forty".