135311198016 has 112 divisors (see below), whose sum is σ = 365962411584. Its totient is φ = 44107554816.

The previous prime is 135311197979. The next prime is 135311198017. The reversal of 135311198016 is 610891113531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135311198017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3102376 + ... + 3145688.

It is an arithmetic number, because the mean of its divisors is an integer number (3267521532).

Almost surely, 2^135311198016 is an apocalyptic number.

135311198016 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 135311198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182981205792).

135311198016 is an abundant number, since it is smaller than the sum of its proper divisors (230651213568).

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

135311198016 is a wasteful number, since it uses less digits than its factorization.

135311198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43688 (or 43678 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 135311198016 in words is "one hundred thirty-five billion, three hundred eleven million, one hundred ninety-eight thousand, sixteen".