112457376 has 96 divisors (see below), whose sum is σ = 332680320. Its totient is φ = 36951552.

The previous prime is 112457353. The next prime is 112457377. The reversal of 112457376 is 673754211.

It is a happy number.

112457376 is a `hidden beast` number, since 1 + 12 + 4 + 573 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112457376² = 25293322833610752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112457376.

It is not an unprimeable number, because it can be changed into a prime (112457377) 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, 62181 + ... + 63963.

It is an arithmetic number, because the mean of its divisors is an integer number (3465420).

Almost surely, 2^112457376 is an apocalyptic number.

112457376 is a gapful number since it is divisible by the number (16) 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 112457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166340160).

112457376 is an abundant number, since it is smaller than the sum of its proper divisors (220222944).

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

112457376 is a wasteful number, since it uses less digits than its factorization.

112457376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1861 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 112457376 is about 10604.5922128104. The cubic root of 112457376 is about 482.6837171651.

The spelling of 112457376 in words is "one hundred twelve million, four hundred fifty-seven thousand, three hundred seventy-six".