112505148 has 72 divisors (see below), whose sum is σ = 332972640. Its totient is φ = 31357440.

The previous prime is 112505147. The next prime is 112505171. The reversal of 112505148 is 841505211.

112505148 is a `hidden beast` number, since 1 + 12 + 505 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112505143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4888 + ... + 15776.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2^112505148 is an apocalyptic number.

112505148 is a gapful number since it is divisible by the number (18) 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 112505148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166486320).

112505148 is an abundant number, since it is smaller than the sum of its proper divisors (220467492).

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

112505148 is a wasteful number, since it uses less digits than its factorization.

112505148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10947 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 112505148 is about 10606.8443940693. The cubic root of 112505148 is about 482.7520556562.

The spelling of 112505148 in words is "one hundred twelve million, five hundred five thousand, one hundred forty-eight".