135293616 has 90 divisors (see below), whose sum is σ = 402340692. Its totient is φ = 42432000.

The previous prime is 135293597. The next prime is 135293621. The reversal of 135293616 is 616392531.

135293616 is a `hidden beast` number, since 1 + 35 + 2 + 9 + 3 + 616 = 666.

135293616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39991 + ... + 43241.

Almost surely, 2^135293616 is an apocalyptic number.

135293616 is a gapful number since it is divisible by the number (16) 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 135293616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201170346).

135293616 is an abundant number, since it is smaller than the sum of its proper divisors (267047076).

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

135293616 is a wasteful number, since it uses less digits than its factorization.

135293616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3273 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 135293616 is about 11631.5783967611. The cubic root of 135293616 is about 513.3644230716.

The spelling of 135293616 in words is "one hundred thirty-five million, two hundred ninety-three thousand, six hundred sixteen".