135238180 has 96 divisors (see below), whose sum is σ = 357219072. Its totient is φ = 41779200.

The previous prime is 135238177. The next prime is 135238231. The reversal of 135238180 is 81832531.

135238180 = 1541² + 1542² + ... + 1595².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210660 + ... + 211300.

It is an arithmetic number, because the mean of its divisors is an integer number (3721032).

Almost surely, 2^135238180 is an apocalyptic number.

135238180 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 135238180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178609536).

135238180 is an abundant number, since it is smaller than the sum of its proper divisors (221980892).

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

135238180 is a wasteful number, since it uses less digits than its factorization.

135238180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 135238180 is about 11629.1951570175. The cubic root of 135238180 is about 513.2942971759.

The spelling of 135238180 in words is "one hundred thirty-five million, two hundred thirty-eight thousand, one hundred eighty".