135688224 has 96 divisors (see below), whose sum is σ = 424811520. Its totient is φ = 37078272.

The previous prime is 135688219. The next prime is 135688277. The reversal of 135688224 is 422886531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135688224² = 36822588264548352, which contains 22 as substring.

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, 11067 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (4425120).

Almost surely, 2^135688224 is an apocalyptic number.

135688224 is a gapful number since it is divisible by the number (14) 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 135688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212405760).

135688224 is an abundant number, since it is smaller than the sum of its proper divisors (289123296).

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

135688224 is a wasteful number, since it uses less digits than its factorization.

135688224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8814 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 135688224 is about 11648.5288341490. The cubic root of 135688224 is about 513.8630449613.

The spelling of 135688224 in words is "one hundred thirty-five million, six hundred eighty-eight thousand, two hundred twenty-four".