135735616 has 56 divisors (see below), whose sum is σ = 289270440. Its totient is φ = 62963712.

The previous prime is 135735569. The next prime is 135735623. The reversal of 135735616 is 616537531.

It can be written as a sum of positive squares in 4 ways, for example, as 21160000 + 114575616 = 4600^2 + 10704^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78570 + ... + 80278.

Almost surely, 2^135735616 is an apocalyptic number.

135735616 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 135735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144635220).

135735616 is an abundant number, since it is smaller than the sum of its proper divisors (153534824).

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

135735616 is a wasteful number, since it uses less digits than its factorization.

135735616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1801 counting only the distinct ones).

The product of its digits is 56700, while the sum is 37.

The square root of 135735616 is about 11650.5629048557. The cubic root of 135735616 is about 513.9228638657.

The spelling of 135735616 in words is "one hundred thirty-five million, seven hundred thirty-five thousand, six hundred sixteen".