134016384 has 64 divisors (see below), whose sum is σ = 357603840. Its totient is φ = 44468736.

The previous prime is 134016373. The next prime is 134016397. The reversal of 134016384 is 483610431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×134016384³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100329 + ... + 101655.

It is an arithmetic number, because the mean of its divisors is an integer number (5587560).

Almost surely, 2^134016384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178801920).

134016384 is an abundant number, since it is smaller than the sum of its proper divisors (223587456).

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

134016384 is a wasteful number, since it uses less digits than its factorization.

134016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 134016384 is about 11576.5445621740. The cubic root of 134016384 is about 511.7438497356.

The spelling of 134016384 in words is "one hundred thirty-four million, sixteen thousand, three hundred eighty-four".