135155550240000 has 810 divisors, whose sum is σ = 505659770866250. Its totient is φ = 36041200128000.

The previous prime is 135155550239999. The next prime is 135155550240031. The reversal of 135155550240000 is 42055551531.

135155550240000 is a `hidden beast` number, since 1 + 3 + 51 + 55 + 550 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 87725552580864 + 47429997659136 = 9366192^2 + 6886944^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1049695626 + ... + 1049824374.

Almost surely, 2^{135155550240000} is an apocalyptic number.

135155550240000 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 135155550240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252829885433125).

135155550240000 is an abundant number, since it is smaller than the sum of its proper divisors (370504220626250).

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

135155550240000 is an frugal number, since it uses more digits than its factorization.

135155550240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128809 (or 128759 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 135155550240000 in words is "one hundred thirty-five trillion, one hundred fifty-five billion, five hundred fifty million, two hundred forty thousand".