135111436020 has 288 divisors, whose sum is σ = 478617624576. Its totient is φ = 31697308800.

The previous prime is 135111436013. The next prime is 135111436063. The reversal of 135111436020 is 20634111531.

It is a happy number.

135111436020 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 11 + 43 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1616497 + ... + 1698023.

It is an arithmetic number, because the mean of its divisors is an integer number (1661866752).

Almost surely, 2^135111436020 is an apocalyptic number.

135111436020 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 135111436020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239308812288).

135111436020 is an abundant number, since it is smaller than the sum of its proper divisors (343506188556).

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

135111436020 is a wasteful number, since it uses less digits than its factorization.

135111436020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81593 (or 81579 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 135111436020 its reverse (20634111531), we get a palindrome (155745547551).

The spelling of 135111436020 in words is "one hundred thirty-five billion, one hundred eleven million, four hundred thirty-six thousand, twenty".