134331208704 has 1408 divisors, whose sum is σ = 541429862400. Its totient is φ = 32248627200.

The previous prime is 134331208703. The next prime is 134331208709. The reversal of 134331208704 is 407802133431.

134331208704 is a `hidden beast` number, since 13 + 433 + 1 + 208 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134331208703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3276370924 + ... + 3276370964.

Almost surely, 2^134331208704 is an apocalyptic number.

134331208704 is a gapful number since it is divisible by the number (14) 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 134331208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270714931200).

134331208704 is an abundant number, since it is smaller than the sum of its proper divisors (407098653696).

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

134331208704 is an equidigital number, since it uses as much as digits as its factorization.

134331208704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 134331208704 in words is "one hundred thirty-four billion, three hundred thirty-one million, two hundred eight thousand, seven hundred four".