135581072 has 40 divisors (see below), whose sum is σ = 287606592. Its totient is φ = 61404800.

The previous prime is 135581027. The next prime is 135581099. The reversal of 135581072 is 270185531.

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, 53498 + ... + 55974.

Almost surely, 2^135581072 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 135581072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143803296).

135581072 is an abundant number, since it is smaller than the sum of its proper divisors (152025520).

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

135581072 is a wasteful number, since it uses less digits than its factorization.

135581072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 135581072 is about 11643.9285466719. The cubic root of 135581072 is about 513.7277447080.

The spelling of 135581072 in words is "one hundred thirty-five million, five hundred eighty-one thousand, seventy-two".