135698304 has 128 divisors (see below), whose sum is σ = 433785600. Its totient is φ = 36716544.

The previous prime is 135698293. The next prime is 135698309. The reversal of 135698304 is 403896531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135698309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49744 + ... + 52400.

It is an arithmetic number, because the mean of its divisors is an integer number (3388950).

Almost surely, 2^135698304 is an apocalyptic number.

135698304 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 135698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216892800).

135698304 is an abundant number, since it is smaller than the sum of its proper divisors (298087296).

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

135698304 is a wasteful number, since it uses less digits than its factorization.

135698304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 135698304 is about 11648.9614987775. The cubic root of 135698304 is about 513.8757692569.

The spelling of 135698304 in words is "one hundred thirty-five million, six hundred ninety-eight thousand, three hundred four".