135341120 has 56 divisors (see below), whose sum is σ = 323280024. Its totient is φ = 53968896.

The previous prime is 135341119. The next prime is 135341137. The reversal of 135341120 is 21143531.

It can be written as a sum of positive squares in 4 ways, for example, as 94789696 + 40551424 = 9736^2 + 6368^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135341092 and 135341101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184274 + ... + 185006.

Almost surely, 2^135341120 is an apocalyptic number.

135341120 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 135341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161640012).

135341120 is an abundant number, since it is smaller than the sum of its proper divisors (187938904).

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

135341120 is an equidigital number, since it uses as much as digits as its factorization.

135341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 135341120 is about 11633.6202447905. The cubic root of 135341120 is about 513.4244998404.

Adding to 135341120 its reverse (21143531), we get a palindrome (156484651).

The spelling of 135341120 in words is "one hundred thirty-five million, three hundred forty-one thousand, one hundred twenty".