136680240 has 80 divisors (see below), whose sum is σ = 437400576. Its totient is φ = 35270400.

The previous prime is 136680239. The next prime is 136680241. The reversal of 136680240 is 42086631.

It is an interprime number because it is at equal distance from previous prime (136680239) and next prime (136680241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136680198 and 136680207.

It is not an unprimeable number, because it can be changed into a prime (136680241) 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, 1746 + ... + 16625.

Almost surely, 2^136680240 is an apocalyptic number.

136680240 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 136680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218700288).

136680240 is an abundant number, since it is smaller than the sum of its proper divisors (300720336).

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

136680240 is a wasteful number, since it uses less digits than its factorization.

136680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18418 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 136680240 is about 11691.0324608223. The cubic root of 136680240 is about 515.1122889597.

The spelling of 136680240 in words is "one hundred thirty-six million, six hundred eighty thousand, two hundred forty".