113537424 has 320 divisors, whose sum is σ = 419973120. Its totient is φ = 25436160.

The previous prime is 113537387. The next prime is 113537471. The reversal of 113537424 is 424735311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113537391 and 113537400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816747 + ... + 816885.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^113537424 is an apocalyptic number.

113537424 is a gapful number since it is divisible by the number (14) 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 113537424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

113537424 is an abundant number, since it is smaller than the sum of its proper divisors (306435696).

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

113537424 is a wasteful number, since it uses less digits than its factorization.

113537424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 113537424 is about 10655.3941269199. The cubic root of 113537424 is about 484.2240385278.

The spelling of 113537424 in words is "one hundred thirteen million, five hundred thirty-seven thousand, four hundred twenty-four".