135501728640 has 256 divisors, whose sum is σ = 457795437120. Its totient is φ = 33972813824.

The previous prime is 135501728639. The next prime is 135501728653. The reversal of 135501728640 is 46827105531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135501728592 and 135501728601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46771672 + ... + 46774568.

Almost surely, 2^135501728640 is an apocalyptic number.

135501728640 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 135501728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228897718560).

135501728640 is an abundant number, since it is smaller than the sum of its proper divisors (322293708480).

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

135501728640 is a wasteful number, since it uses less digits than its factorization.

135501728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 135501728640 in words is "one hundred thirty-five billion, five hundred one million, seven hundred twenty-eight thousand, six hundred forty".