31134000 has 80 divisors (see below), whose sum is σ = 100395360. Its totient is φ = 8300800.

The previous prime is 31133981. The next prime is 31134001. The reversal of 31134000 is 43113.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (31134001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3406 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (1254942).

Almost surely, 2^31134000 is an apocalyptic number.

31134000 is a gapful number since it is divisible by the number (30) 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 31134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50197680).

31134000 is an abundant number, since it is smaller than the sum of its proper divisors (69261360).

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

31134000 is a wasteful number, since it uses less digits than its factorization.

31134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31134000 is about 5579.7849420923. The cubic root of 31134000 is about 314.5900436659.

Adding to 31134000 its reverse (43113), we get a palindrome (31177113).

The spelling of 31134000 in words is "thirty-one million, one hundred thirty-four thousand".