135967616 has 64 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 65568768.

The previous prime is 135967607. The next prime is 135967619. The reversal of 135967616 is 616769531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135967619) 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, 583436 + ... + 583668.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^135967616 is an apocalyptic number.

135967616 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 135967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

135967616 is an abundant number, since it is smaller than the sum of its proper divisors (144720064).

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

135967616 is an equidigital number, since it uses as much as digits as its factorization.

135967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its digits is 204120, while the sum is 44.

The square root of 135967616 is about 11660.5152544817. The cubic root of 135967616 is about 514.2154970566.

It can be divided in two parts, 13596 and 7616, that added together give a palindrome (21212).

The spelling of 135967616 in words is "one hundred thirty-five million, nine hundred sixty-seven thousand, six hundred sixteen".