136567640 has 64 divisors (see below), whose sum is σ = 337029120. Its totient is φ = 49392000.

The previous prime is 136567637. The next prime is 136567643. The reversal of 136567640 is 46765631.

It is a happy number.

136567640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136567637) and next prime (136567643).

It is a junction number, because it is equal to n+sod(n) for n = 136567594 and 136567603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136567643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92105 + ... + 93575.

It is an arithmetic number, because the mean of its divisors is an integer number (5266080).

Almost surely, 2^136567640 is an apocalyptic number.

136567640 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 136567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168514560).

136567640 is an abundant number, since it is smaller than the sum of its proper divisors (200461480).

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

136567640 is a wasteful number, since it uses less digits than its factorization.

136567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 136567640 is about 11686.2158118015. The cubic root of 136567640 is about 514.9707967228.

The spelling of 136567640 in words is "one hundred thirty-six million, five hundred sixty-seven thousand, six hundred forty".