135045701280 has 720 divisors, whose sum is σ = 573606661320. Its totient is φ = 29799124992.

The previous prime is 135045701261. The next prime is 135045701299. The reversal of 135045701280 is 82107540531.

135045701280 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 570 + 1 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (135045701261) and next prime (135045701299).

It can be written as a sum of positive squares in 4 ways, for example, as 65165836176 + 69879865104 = 255276^2 + 264348^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18412494 + ... + 18419826.

Almost surely, 2^135045701280 is an apocalyptic number.

135045701280 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 135045701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286803330660).

135045701280 is an abundant number, since it is smaller than the sum of its proper divisors (438560960040).

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

135045701280 is a wasteful number, since it uses less digits than its factorization.

135045701280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7403 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 135045701280 in words is "one hundred thirty-five billion, forty-five million, seven hundred one thousand, two hundred eighty".