135280359360 has 896 divisors, whose sum is σ = 513866465280. Its totient is φ = 33443020800.

The previous prime is 135280359343. The next prime is 135280359371. The reversal of 135280359360 is 63953082531.

It is a happy number.

135280359360 is a `hidden beast` number, since 1 + 3 + 5 + 280 + 3 + 5 + 9 + 360 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1065199617 + ... + 1065199743.

It is an arithmetic number, because the mean of its divisors is an integer number (573511680).

Almost surely, 2^135280359360 is an apocalyptic number.

135280359360 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 135280359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256933232640).

135280359360 is an abundant number, since it is smaller than the sum of its proper divisors (378586105920).

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

135280359360 is a wasteful number, since it uses less digits than its factorization.

135280359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 135280359360 in words is "one hundred thirty-five billion, two hundred eighty million, three hundred fifty-nine thousand, three hundred sixty".