112465152 has 144 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 36661248.

The previous prime is 112465141. The next prime is 112465159. The reversal of 112465152 is 251564211.

112465152 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 651 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112465159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366183 + ... + 366489.

It is an arithmetic number, because the mean of its divisors is an integer number (2360820).

Almost surely, 2^112465152 is an apocalyptic number.

112465152 is a gapful number since it is divisible by the number (12) 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 112465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979040).

112465152 is an abundant number, since it is smaller than the sum of its proper divisors (227492928).

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

112465152 is an equidigital number, since it uses as much as digits as its factorization.

112465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 112465152 is about 10604.9588400899. The cubic root of 112465152 is about 482.6948421566.

The spelling of 112465152 in words is "one hundred twelve million, four hundred sixty-five thousand, one hundred fifty-two".