135711180 has 288 divisors, whose sum is σ = 486205440. Its totient is φ = 31363200.

The previous prime is 135711157. The next prime is 135711229. The reversal of 135711180 is 81117531.

135711180 is a `hidden beast` number, since 1 + 3 + 571 + 11 + 80 = 666.

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

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, 2025507 + ... + 2025573.

Almost surely, 2^135711180 is an apocalyptic number.

135711180 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 135711180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243102720).

135711180 is an abundant number, since it is smaller than the sum of its proper divisors (350494260).

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

135711180 is a wasteful number, since it uses less digits than its factorization.

135711180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 135711180 is about 11649.5141529593. The cubic root of 135711180 is about 513.8920221133.

The spelling of 135711180 in words is "one hundred thirty-five million, seven hundred eleven thousand, one hundred eighty".