135498639893760 has 1728 divisors, whose sum is σ = 566108620197120. Its totient is φ = 29483367137280.

The previous prime is 135498639893699. The next prime is 135498639893821. The reversal of 135498639893760 is 67398936894531.

135498639893760 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 86 + 398 + 93 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (135498639893699) and next prime (135498639893821).

It is a self number, because there is not a number n which added to its sum of digits gives 135498639893760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16221549744 + ... + 16221558096.

Almost surely, 2^{135498639893760} is an apocalyptic number.

135498639893760 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 135498639893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283054310098560).

135498639893760 is an abundant number, since it is smaller than the sum of its proper divisors (430609980303360).

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

135498639893760 is a wasteful number, since it uses less digits than its factorization.

135498639893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 135498639893760 in words is "one hundred thirty-five trillion, four hundred ninety-eight billion, six hundred thirty-nine million, eight hundred ninety-three thousand, seven hundred sixty".