31134400 has 168 divisors, whose sum is σ = 87873840. Its totient is φ = 10752000.

The previous prime is 31134391. The next prime is 31134401. The reversal of 31134400 is 443113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31134401) 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 23 ways as a sum of consecutive naturals, for example, 510370 + ... + 510430.

Almost surely, 2^31134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43936920).

31134400 is an abundant number, since it is smaller than the sum of its proper divisors (56739440).

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

31134400 is a wasteful number, since it uses less digits than its factorization.

31134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31134400 is about 5579.8207856525. The cubic root of 31134400 is about 314.5913909119.

Adding to 31134400 its reverse (443113), we get a palindrome (31577513).

It can be divided in two parts, 31 and 134400, that added together give a palindrome (134431).

The spelling of 31134400 in words is "thirty-one million, one hundred thirty-four thousand, four hundred".