31145400 has 288 divisors, whose sum is σ = 123898320. Its totient is φ = 6969600.

The previous prime is 31145383. The next prime is 31145423. The reversal of 31145400 is 454113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2395794 + ... + 2395806.

Almost surely, 2^31145400 is an apocalyptic number.

31145400 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 31145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949160).

31145400 is an abundant number, since it is smaller than the sum of its proper divisors (92752920).

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

31145400 is a wasteful number, since it uses less digits than its factorization.

31145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31145400 is about 5580.8063933450. The cubic root of 31145400 is about 314.6284356582.

Adding to 31145400 its reverse (454113), we get a palindrome (31599513).

The spelling of 31145400 in words is "thirty-one million, one hundred forty-five thousand, four hundred".