113940288 has 252 divisors, whose sum is σ = 415576512. Its totient is φ = 29514240.

The previous prime is 113940251. The next prime is 113940311. The reversal of 113940288 is 882049311.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310281 + ... + 310647.

Almost surely, 2^113940288 is an apocalyptic number.

113940288 is a gapful number since it is divisible by the number (18) 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 113940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207788256).

113940288 is an abundant number, since it is smaller than the sum of its proper divisors (301636224).

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

113940288 is a wasteful number, since it uses less digits than its factorization.

113940288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 113940288 is about 10674.2816151720. The cubic root of 113940288 is about 484.7960853195.

Adding to 113940288 its reverse (882049311), we get a palindrome (995989599).

The spelling of 113940288 in words is "one hundred thirteen million, nine hundred forty thousand, two hundred eighty-eight".