135360455130000 has 600 divisors, whose sum is σ = 497632885477728. Its totient is φ = 35601607296000.

The previous prime is 135360455129981. The next prime is 135360455130007. The reversal of 135360455130000 is 31554063531.

135360455130000 is a `hidden beast` number, since 1 + 3 + 536 + 0 + 45 + 51 + 30 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (135360455130007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 177008467 + ... + 177771533.

Almost surely, 2^{135360455130000} is an apocalyptic number.

135360455130000 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 135360455130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248816442738864).

135360455130000 is an abundant number, since it is smaller than the sum of its proper divisors (362272430347728).

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

135360455130000 is an frugal number, since it uses more digits than its factorization.

135360455130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763183 (or 763150 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135360455130000 in words is "one hundred thirty-five trillion, three hundred sixty billion, four hundred fifty-five million, one hundred thirty thousand".