135352672 has 96 divisors (see below), whose sum is σ = 334539072. Its totient is φ = 52475904.

The previous prime is 135352639. The next prime is 135352681. The reversal of 135352672 is 276253531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153898 + ... + 154774.

It is an arithmetic number, because the mean of its divisors is an integer number (3484782).

Almost surely, 2^135352672 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 135352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167269536).

135352672 is an abundant number, since it is smaller than the sum of its proper divisors (199186400).

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

135352672 is a wasteful number, since it uses less digits than its factorization.

135352672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 135352672 is about 11634.1167262496. The cubic root of 135352672 is about 513.4391071554.

The spelling of 135352672 in words is "one hundred thirty-five million, three hundred fifty-two thousand, six hundred seventy-two".