135411166040 has 64 divisors (see below), whose sum is σ = 309152937600. Its totient is φ = 53369874432.

The previous prime is 135411166027. The next prime is 135411166057. The reversal of 135411166040 is 40661114531.

It is a junction number, because it is equal to n+sod(n) for n = 135411165988 and 135411166006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3011564 + ... + 3056196.

It is an arithmetic number, because the mean of its divisors is an integer number (4830514650).

Almost surely, 2^135411166040 is an apocalyptic number.

135411166040 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 135411166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154576468800).

135411166040 is an abundant number, since it is smaller than the sum of its proper divisors (173741771560).

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

135411166040 is a wasteful number, since it uses less digits than its factorization.

135411166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45756 (or 45752 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 135411166040 in words is "one hundred thirty-five billion, four hundred eleven million, one hundred sixty-six thousand, forty".