135258439680 has 1200 divisors, whose sum is σ = 607489829100. Its totient is φ = 28538044416.

The previous prime is 135258439637. The next prime is 135258439681. The reversal of 135258439680 is 86934852531.

135258439680 is a `hidden beast` number, since 1 + 3 + 52 + 584 + 3 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125894393856 + 9364045824 = 354816^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135258439681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10404495354 + ... + 10404495366.

Almost surely, 2^135258439680 is an apocalyptic number.

135258439680 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 135258439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303744914550).

135258439680 is an abundant number, since it is smaller than the sum of its proper divisors (472231389420).

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

135258439680 is an frugal number, since it uses more digits than its factorization.

135258439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 135258439680 in words is "one hundred thirty-five billion, two hundred fifty-eight million, four hundred thirty-nine thousand, six hundred eighty".