135889665822240 has 288 divisors, whose sum is σ = 475354505404800. Its totient is φ = 32603329904640.

The previous prime is 135889665822193. The next prime is 135889665822241. The reversal of 135889665822240 is 42228566988531.

It is not an unprimeable number, because it can be changed into a prime (135889665822241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6426540 + ... + 17694059.

It is an arithmetic number, because the mean of its divisors is an integer number (1650536477100).

Almost surely, 2^{135889665822240} is an apocalyptic number.

135889665822240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135889665822240 is an abundant number, since it is smaller than the sum of its proper divisors (339464839582560).

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

135889665822240 is a wasteful number, since it uses less digits than its factorization.

135889665822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24120736 (or 24120717 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 69.

The spelling of 135889665822240 in words is "one hundred thirty-five trillion, eight hundred eighty-nine billion, six hundred sixty-five million, eight hundred twenty-two thousand, two hundred forty".