135739017216 has 480 divisors, whose sum is σ = 448799551200. Its totient is φ = 40529756160.

The previous prime is 135739017209. The next prime is 135739017277. The reversal of 135739017216 is 612710937531.

135739017216 is a `hidden beast` number, since 1 + 3 + 573 + 9 + 0 + 1 + 72 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133207555 + ... + 133208573.

It is an arithmetic number, because the mean of its divisors is an integer number (934999065).

Almost surely, 2^135739017216 is an apocalyptic number.

135739017216 is a gapful number since it is divisible by the number (16) 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 135739017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224399775600).

135739017216 is an abundant number, since it is smaller than the sum of its proper divisors (313060533984).

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

135739017216 is a wasteful number, since it uses less digits than its factorization.

135739017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 135739017216 in words is "one hundred thirty-five billion, seven hundred thirty-nine million, seventeen thousand, two hundred sixteen".