135898272 has 144 divisors (see below), whose sum is σ = 419793192. Its totient is φ = 41533440.

The previous prime is 135898271. The next prime is 135898277. The reversal of 135898272 is 272898531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131882256 + 4016016 = 11484^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (135898271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200398 + ... + 201074.

Almost surely, 2^135898272 is an apocalyptic number.

135898272 is a gapful number since it is divisible by the number (12) 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 135898272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209896596).

135898272 is an abundant number, since it is smaller than the sum of its proper divisors (283894920).

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

135898272 is a wasteful number, since it uses less digits than its factorization.

135898272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 135898272 is about 11657.5414217578. The cubic root of 135898272 is about 514.1280649065.

The spelling of 135898272 in words is "one hundred thirty-five million, eight hundred ninety-eight thousand, two hundred seventy-two".