135111888 has 240 divisors, whose sum is σ = 433305600. Its totient is φ = 40590720.

The previous prime is 135111877. The next prime is 135111917. The reversal of 135111888 is 888111531.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 2290003 + ... + 2290061.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^135111888 is an apocalyptic number.

135111888 is a gapful number since it is divisible by the number (18) 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 135111888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

135111888 is an abundant number, since it is smaller than the sum of its proper divisors (298193712).

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

135111888 is a wasteful number, since it uses less digits than its factorization.

135111888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its digits is 7680, while the sum is 36.

The square root of 135111888 is about 11623.7639342857. The cubic root of 135111888 is about 513.1344676742.

The spelling of 135111888 in words is "one hundred thirty-five million, one hundred eleven thousand, eight hundred eighty-eight".