136870560 has 240 divisors, whose sum is σ = 493970400. Its totient is φ = 35679744.

The previous prime is 136870543. The next prime is 136870561. The reversal of 136870560 is 65078631.

136870560 is a `hidden beast` number, since 13 + 6 + 87 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (136870561) 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, 764551 + ... + 764729.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^136870560 is an apocalyptic number.

136870560 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 136870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246985200).

136870560 is an abundant number, since it is smaller than the sum of its proper divisors (357099840).

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

136870560 is a wasteful number, since it uses less digits than its factorization.

136870560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 136870560 is about 11699.1692012724. The cubic root of 136870560 is about 515.3512669387.

The spelling of 136870560 in words is "one hundred thirty-six million, eight hundred seventy thousand, five hundred sixty".