113538240 has 224 divisors, whose sum is σ = 424647360. Its totient is φ = 28459008.

The previous prime is 113538221. The next prime is 113538253. The reversal of 113538240 is 42835311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 146494 + ... + 147266.

Almost surely, 2^113538240 is an apocalyptic number.

113538240 is a gapful number since it is divisible by the number (10) 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 113538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212323680).

113538240 is an abundant number, since it is smaller than the sum of its proper divisors (311109120).

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

113538240 is a wasteful number, since it uses less digits than its factorization.

113538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 113538240 is about 10655.4324173165. The cubic root of 113538240 is about 484.2251985737.

The spelling of 113538240 in words is "one hundred thirteen million, five hundred thirty-eight thousand, two hundred forty".