135945072 has 60 divisors (see below), whose sum is σ = 381628104. Its totient is φ = 45175680.

The previous prime is 135945071. The next prime is 135945143. The reversal of 135945072 is 270549531.

135945072 is a `hidden beast` number, since 13 + 594 + 50 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135945071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52447 + ... + 54977.

Almost surely, 2^135945072 is an apocalyptic number.

135945072 is a gapful number since it is divisible by the number (12) 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 135945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190814052).

135945072 is an abundant number, since it is smaller than the sum of its proper divisors (245683032).

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

135945072 is a wasteful number, since it uses less digits than its factorization.

135945072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135945072 is about 11659.5485332838. The cubic root of 135945072 is about 514.1870757916.

The spelling of 135945072 in words is "one hundred thirty-five million, nine hundred forty-five thousand, seventy-two".