112134000 has 160 divisors (see below), whose sum is σ = 394617600. Its totient is φ = 27168000.

The previous prime is 112133951. The next prime is 112134019. The reversal of 112134000 is 431211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65151 + ... + 66849.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^112134000 is an apocalyptic number.

112134000 is a gapful number since it is divisible by the number (10) 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 112134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

112134000 is an abundant number, since it is smaller than the sum of its proper divisors (282483600).

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

112134000 is a wasteful number, since it uses less digits than its factorization.

112134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112134000 is about 10589.3342566943. The cubic root of 112134000 is about 482.2206137575.

Adding to 112134000 its reverse (431211), we get a palindrome (112565211).

The spelling of 112134000 in words is "one hundred twelve million, one hundred thirty-four thousand".