134112384 has 96 divisors (see below), whose sum is σ = 441080640. Its totient is φ = 38315520.

The previous prime is 134112373. The next prime is 134112389. The reversal of 134112384 is 483211431.

134112384 is a `hidden beast` number, since 13 + 411 + 238 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×134112384² = 35972263084326912, which contains 22 as substring.

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 (134112389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252 + ... + 16379.

It is an arithmetic number, because the mean of its divisors is an integer number (4594590).

Almost surely, 2^134112384 is an apocalyptic number.

134112384 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 134112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

134112384 is an abundant number, since it is smaller than the sum of its proper divisors (306968256).

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

134112384 is a wasteful number, since it uses less digits than its factorization.

134112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16658 (or 16643 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 134112384 is about 11580.6901348754. The cubic root of 134112384 is about 511.8660131167.

The spelling of 134112384 in words is "one hundred thirty-four million, one hundred twelve thousand, three hundred eighty-four".