135327940020 has 1152 divisors, whose sum is σ = 563435937792. Its totient is φ = 25480396800.

The previous prime is 135327940001. The next prime is 135327940057. The reversal of 135327940020 is 20049723531.

135327940020 is a `hidden beast` number, since 13 + 532 + 7 + 94 + 0 + 0 + 20 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 526567732 + ... + 526567988.

It is an arithmetic number, because the mean of its divisors is an integer number (489093696).

Almost surely, 2^135327940020 is an apocalyptic number.

135327940020 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 135327940020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281717968896).

135327940020 is an abundant number, since it is smaller than the sum of its proper divisors (428107997772).

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

135327940020 is a wasteful number, since it uses less digits than its factorization.

135327940020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 135327940020 in words is "one hundred thirty-five billion, three hundred twenty-seven million, nine hundred forty thousand, twenty".