135701280 has 288 divisors, whose sum is σ = 544864320. Its totient is φ = 30320640.

The previous prime is 135701261. The next prime is 135701299. The reversal of 135701280 is 82107531.

135701280 is a `hidden beast` number, since 1 + 3 + 570 + 12 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (135701261) and next prime (135701299).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205591 + ... + 206249.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^135701280 is an apocalyptic number.

135701280 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 135701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

135701280 is an abundant number, since it is smaller than the sum of its proper divisors (409163040).

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

135701280 is a wasteful number, since it uses less digits than its factorization.

135701280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 135701280 is about 11649.0892347857. The cubic root of 135701280 is about 513.8795258332.

It can be divided in two parts, 135701 and 280, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135701280 in words is "one hundred thirty-five million, seven hundred one thousand, two hundred eighty".