135020072 has 32 divisors (see below), whose sum is σ = 277901280. Its totient is φ = 60989760.

The previous prime is 135020071. The next prime is 135020089. The reversal of 135020072 is 270020531.

It is not an unprimeable number, because it can be changed into a prime (135020071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9638 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (8684415).

Almost surely, 2^135020072 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 135020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138950640).

135020072 is an abundant number, since it is smaller than the sum of its proper divisors (142881208).

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

135020072 is a wasteful number, since it uses less digits than its factorization.

135020072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 135020072 is about 11619.8137678708. The cubic root of 135020072 is about 513.0182069188.

The spelling of 135020072 in words is "one hundred thirty-five million, twenty thousand, seventy-two".