136765440 has 336 divisors, whose sum is σ = 552041568. Its totient is φ = 30670848.

The previous prime is 136765417. The next prime is 136765471. The reversal of 136765440 is 44567631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 136765395 and 136765404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580454 + ... + 2580506.

Almost surely, 2^136765440 is an apocalyptic number.

136765440 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 136765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276020784).

136765440 is an abundant number, since it is smaller than the sum of its proper divisors (415276128).

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

136765440 is an equidigital number, since it uses as much as digits as its factorization.

136765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 136765440 is about 11694.6757116219. The cubic root of 136765440 is about 515.2192989440.

The spelling of 136765440 in words is "one hundred thirty-six million, seven hundred sixty-five thousand, four hundred forty".