134116336872 has 128 divisors (see below), whose sum is σ = 427338547200. Its totient is φ = 38177438400.

The previous prime is 134116336829. The next prime is 134116336877. The reversal of 134116336872 is 278633611431.

134116336872 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 633 + 6 + 8 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134116336877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246097 + ... + 573407.

It is an arithmetic number, because the mean of its divisors is an integer number (3338582400).

Almost surely, 2^134116336872 is an apocalyptic number.

134116336872 is a gapful number since it is divisible by the number (12) 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 134116336872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213669273600).

134116336872 is an abundant number, since it is smaller than the sum of its proper divisors (293222210328).

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

134116336872 is a wasteful number, since it uses less digits than its factorization.

134116336872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327604 (or 327594 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 134116336872 in words is "one hundred thirty-four billion, one hundred sixteen million, three hundred thirty-six thousand, eight hundred seventy-two".