135141120 has 108 divisors (see below), whose sum is σ = 467614056. Its totient is φ = 36034560.

The previous prime is 135141119. The next prime is 135141133. The reversal of 135141120 is 21141531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135141093 and 135141102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5655 + ... + 17385.

Almost surely, 2^135141120 is an apocalyptic number.

135141120 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 135141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233807028).

135141120 is an abundant number, since it is smaller than the sum of its proper divisors (332472936).

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

135141120 is a wasteful number, since it uses less digits than its factorization.

135141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135141120 is about 11625.0212903031. The cubic root of 135141120 is about 513.1714712405.

Adding to 135141120 its reverse (21141531), we get a palindrome (156282651).

The spelling of 135141120 in words is "one hundred thirty-five million, one hundred forty-one thousand, one hundred twenty".