135166355040 has 96 divisors (see below), whose sum is σ = 425826326016. Its totient is φ = 36039933440.

The previous prime is 135166354993. The next prime is 135166355123. The reversal of 135166355040 is 40553661531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 135166355040.

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, 6278695 + ... + 6300185.

It is an arithmetic number, because the mean of its divisors is an integer number (4435690896).

Almost surely, 2^135166355040 is an apocalyptic number.

135166355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135166355040 is an abundant number, since it is smaller than the sum of its proper divisors (290659970976).

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

135166355040 is a wasteful number, since it uses less digits than its factorization.

135166355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34612 (or 34604 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 135166355040 in words is "one hundred thirty-five billion, one hundred sixty-six million, three hundred fifty-five thousand, forty".