135688320 has 96 divisors (see below), whose sum is σ = 468568620. Its totient is φ = 36182016.

The previous prime is 135688309. The next prime is 135688337. The reversal of 135688320 is 23886531.

135688320 is a `hidden beast` number, since 13 + 568 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111007296 + 24681024 = 10536^2 + 4968^2 .

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

It is a super-2 number, since 2×135688320² = 36822640368844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6019 + ... + 17538.

Almost surely, 2^135688320 is an apocalyptic number.

135688320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135688320 is an abundant number, since it is smaller than the sum of its proper divisors (332880300).

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

135688320 is a wasteful number, since it uses less digits than its factorization.

135688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23582 (or 23567 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135688320 is about 11648.5329548403. The cubic root of 135688320 is about 513.8631661480.

It can be divided in two parts, 1356 and 88320, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 135688320 in words is "one hundred thirty-five million, six hundred eighty-eight thousand, three hundred twenty".