134186112 has 128 divisors (see below), whose sum is σ = 406123200. Its totient is φ = 43591680.

The previous prime is 134186099. The next prime is 134186123. The reversal of 134186112 is 211681431.

It is a happy number.

134186112 is a `hidden beast` number, since 1 + 3 + 41 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141223 + ... + 142169.

Almost surely, 2^134186112 is an apocalyptic number.

134186112 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 134186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203061600).

134186112 is an abundant number, since it is smaller than the sum of its proper divisors (271937088).

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

134186112 is an equidigital number, since it uses as much as digits as its factorization.

134186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 993 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 134186112 is about 11583.8729274798. The cubic root of 134186112 is about 511.9597950201.

The spelling of 134186112 in words is "one hundred thirty-four million, one hundred eighty-six thousand, one hundred twelve".