135343650240 has 336 divisors, whose sum is σ = 478043748000. Its totient is φ = 35125493760.

The previous prime is 135343650223. The next prime is 135343650289. The reversal of 135343650240 is 42056343531.

135343650240 is a `hidden beast` number, since 1 + 3 + 53 + 4 + 365 + 0 + 240 = 666.

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 = 135343650195 and 135343650204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58920772 + ... + 58923068.

It is an arithmetic number, because the mean of its divisors is an integer number (1422749250).

Almost surely, 2^135343650240 is an apocalyptic number.

135343650240 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 135343650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239021874000).

135343650240 is an abundant number, since it is smaller than the sum of its proper divisors (342700097760).

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

135343650240 is a wasteful number, since it uses less digits than its factorization.

135343650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 135343650240 its reverse (42056343531), we get a palindrome (177399993771).

The spelling of 135343650240 in words is "one hundred thirty-five billion, three hundred forty-three million, six hundred fifty thousand, two hundred forty".