136384560 has 200 divisors, whose sum is σ = 510436080. Its totient is φ = 33550848.

The previous prime is 136384541. The next prime is 136384561. The reversal of 136384560 is 65483631.

136384560 is a `hidden beast` number, since 13 + 6 + 3 + 84 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (136384561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83431 + ... + 85049.

Almost surely, 2^136384560 is an apocalyptic number.

136384560 is a gapful number since it is divisible by the number (10) 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 136384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

136384560 is an abundant number, since it is smaller than the sum of its proper divisors (374051520).

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

136384560 is a wasteful number, since it uses less digits than its factorization.

136384560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136384560 is about 11678.3800246438. The cubic root of 136384560 is about 514.7405737719.

The spelling of 136384560 in words is "one hundred thirty-six million, three hundred eighty-four thousand, five hundred sixty".