113514912 has 144 divisors (see below), whose sum is σ = 381165120. Its totient is φ = 32196096.

The previous prime is 113514893. The next prime is 113514943. The reversal of 113514912 is 219415311.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828508 + ... + 828644.

It is an arithmetic number, because the mean of its divisors is an integer number (2646980).

Almost surely, 2^113514912 is an apocalyptic number.

113514912 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 113514912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190582560).

113514912 is an abundant number, since it is smaller than the sum of its proper divisors (267650208).

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

113514912 is an equidigital number, since it uses as much as digits as its factorization.

113514912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 149 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 113514912 is about 10654.3377081825. The cubic root of 113514912 is about 484.1920327166.

The spelling of 113514912 in words is "one hundred thirteen million, five hundred fourteen thousand, nine hundred twelve".