134324822016 has 840 divisors, whose sum is σ = 506211108480. Its totient is φ = 34743582720.

The previous prime is 134324821979. The next prime is 134324822029. The reversal of 134324822016 is 610228423431.

134324822016 is a `hidden beast` number, since 13 + 432 + 4 + 8 + 2 + 201 + 6 = 666.

134324822016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 562028425 + ... + 562028663.

It is an arithmetic number, because the mean of its divisors is an integer number (602632272).

Almost surely, 2^134324822016 is an apocalyptic number.

134324822016 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 134324822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253105554240).

134324822016 is an abundant number, since it is smaller than the sum of its proper divisors (371886286464).

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

134324822016 is an equidigital number, since it uses as much as digits as its factorization.

134324822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 134324822016 in words is "one hundred thirty-four billion, three hundred twenty-four million, eight hundred twenty-two thousand, sixteen".