112509540 has 384 divisors, whose sum is σ = 433520640. Its totient is φ = 23846400.

The previous prime is 112509517. The next prime is 112509541. The reversal of 112509540 is 45905211.

112509540 is a `hidden beast` number, since 112 + 5 + 0 + 9 + 540 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112509541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2393797 + ... + 2393843.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^112509540 is an apocalyptic number.

112509540 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 112509540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

112509540 is an abundant number, since it is smaller than the sum of its proper divisors (321011100).

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

112509540 is a wasteful number, since it uses less digits than its factorization.

112509540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 112509540 is about 10607.0514281774. The cubic root of 112509540 is about 482.7583375004.

The spelling of 112509540 in words is "one hundred twelve million, five hundred nine thousand, five hundred forty".