112813952 has 32 divisors (see below), whose sum is σ = 226874520. Its totient is φ = 55873024.

The previous prime is 112813933. The next prime is 112813969. The reversal of 112813952 is 259318211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9578 + ... + 17814.

Almost surely, 2^112813952 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 112813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113437260).

112813952 is an abundant number, since it is smaller than the sum of its proper divisors (114060568).

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

112813952 is an equidigital number, since it uses as much as digits as its factorization.

112813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8346 counting only the distinct ones).

The product of its digits is 4320, while the sum is 32.

The square root of 112813952 is about 10621.3912459715. The cubic root of 112813952 is about 483.1933379196.

The spelling of 112813952 in words is "one hundred twelve million, eight hundred thirteen thousand, nine hundred fifty-two".