113977248 has 192 divisors, whose sum is σ = 395394048. Its totient is φ = 27832320.

The previous prime is 113977243. The next prime is 113977249. The reversal of 113977248 is 842779311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (113977243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125211 + ... + 126117.

It is an arithmetic number, because the mean of its divisors is an integer number (2059344).

Almost surely, 2^113977248 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 113977248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197697024).

113977248 is an abundant number, since it is smaller than the sum of its proper divisors (281416800).

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

113977248 is a wasteful number, since it uses less digits than its factorization.

113977248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 113977248 is about 10676.0127388459. The cubic root of 113977248 is about 484.8484991073.

It can be divided in two parts, 1139 and 77248, that added together give a palindrome (78387).

The spelling of 113977248 in words is "one hundred thirteen million, nine hundred seventy-seven thousand, two hundred forty-eight".