112554144 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 34504704.

The previous prime is 112554137. The next prime is 112554179. The reversal of 112554144 is 441455211.

112554144 is a `hidden beast` number, since 112 + 5 + 541 + 4 + 4 = 666.

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

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, 1160304 + ... + 1160400.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^112554144 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 112554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

112554144 is an abundant number, since it is smaller than the sum of its proper divisors (243068256).

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

112554144 is a wasteful number, since it uses less digits than its factorization.

112554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 112554144 is about 10609.1537834080. The cubic root of 112554144 is about 482.8221250037.

The spelling of 112554144 in words is "one hundred twelve million, five hundred fifty-four thousand, one hundred forty-four".