135911144160 has 336 divisors, whose sum is σ = 525184838640. Its totient is φ = 32947845120.

The previous prime is 135911144129. The next prime is 135911144197. The reversal of 135911144160 is 61441119531.

It is a happy number.

135911144160 is a `hidden beast` number, since 1 + 3 + 591 + 1 + 1 + 4 + 4 + 1 + 60 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 1230076 + ... + 1336004.

It is an arithmetic number, because the mean of its divisors is an integer number (1563050115).

Almost surely, 2^135911144160 is an apocalyptic number.

135911144160 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 135911144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262592419320).

135911144160 is an abundant number, since it is smaller than the sum of its proper divisors (389273694480).

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

135911144160 is a wasteful number, since it uses less digits than its factorization.

135911144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105973 (or 105950 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 135911144160 in words is "one hundred thirty-five billion, nine hundred eleven million, one hundred forty-four thousand, one hundred sixty".