134616384 has 224 divisors, whose sum is σ = 468172800. Its totient is φ = 37117440.

The previous prime is 134616373. The next prime is 134616431. The reversal of 134616384 is 483616431.

It is a happy number.

134616384 is a `hidden beast` number, since 1 + 3 + 4 + 616 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×134616384³ (a number of 25 digits) contains 333 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374797 + ... + 375155.

Almost surely, 2^134616384 is an apocalyptic number.

134616384 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 134616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

134616384 is an abundant number, since it is smaller than the sum of its proper divisors (333556416).

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

134616384 is a wasteful number, since it uses less digits than its factorization.

134616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 134616384 is about 11602.4300902871. The cubic root of 134616384 is about 512.5064162592.

The spelling of 134616384 in words is "one hundred thirty-four million, six hundred sixteen thousand, three hundred eighty-four".