113221152 has 270 divisors, whose sum is σ = 386280279. Its totient is φ = 32503680.

The previous prime is 113221127. The next prime is 113221181. The reversal of 113221152 is 251122311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 56610576 = 7524^2 + 7524^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7524.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5958999 + ... + 5959017.

Almost surely, 2^113221152 is an apocalyptic number.

113221152 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 113221152

113221152 is an abundant number, since it is smaller than the sum of its proper divisors (273059127).

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

113221152 is a wasteful number, since it uses less digits than its factorization.

113221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 35 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 113221152 is about 10640.5428432952. The cubic root of 113221152 is about 483.7739991699.

Multiplying 113221152 by its sum of digits (18), we get a square (2037980736 = 45144²).

113221152 divided by its sum of digits (18) gives a square (6290064 = 2508²).

Adding to 113221152 its reverse (251122311), we get a palindrome (364343463).

The spelling of 113221152 in words is "one hundred thirteen million, two hundred twenty-one thousand, one hundred fifty-two".