135881064 has 120 divisors (see below), whose sum is σ = 418578930. Its totient is φ = 41152320.

The previous prime is 135881041. The next prime is 135881069. The reversal of 135881064 is 460188531.

135881064 is a `hidden beast` number, since 1 + 3 + 588 + 10 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118592100 + 17288964 = 10890^2 + 4158^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135881069) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77542 + ... + 79274.

Almost surely, 2^135881064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135881064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209289465).

135881064 is an abundant number, since it is smaller than the sum of its proper divisors (282697866).

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

135881064 is a wasteful number, since it uses less digits than its factorization.

135881064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135881064 is about 11656.8033353917. The cubic root of 135881064 is about 514.1063636515.

The spelling of 135881064 in words is "one hundred thirty-five million, eight hundred eighty-one thousand, sixty-four".