136268440 has 128 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 42048000.

The previous prime is 136268423. The next prime is 136268441. The reversal of 136268440 is 44862631.

It is a junction number, because it is equal to n+sod(n) for n = 136268396 and 136268405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136268441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464934 + ... + 465226.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^136268440 is an apocalyptic number.

136268440 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 136268440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

136268440 is an abundant number, since it is smaller than the sum of its proper divisors (249835880).

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

136268440 is a wasteful number, since it uses less digits than its factorization.

136268440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 136268440 is about 11673.4073860206. The cubic root of 136268440 is about 514.5944461677.

The spelling of 136268440 in words is "one hundred thirty-six million, two hundred sixty-eight thousand, four hundred forty".