113553440 has 192 divisors, whose sum is σ = 360702720. Its totient is φ = 32624640.

The previous prime is 113553439. The next prime is 113553449. The reversal of 113553440 is 44355311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (113553449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159806 + ... + 160514.

It is an arithmetic number, because the mean of its divisors is an integer number (1878660).

Almost surely, 2^113553440 is an apocalyptic number.

113553440 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 113553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180351360).

113553440 is an abundant number, since it is smaller than the sum of its proper divisors (247149280).

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

113553440 is a wasteful number, since it uses less digits than its factorization.

113553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 113553440 is about 10656.1456446503. The cubic root of 113553440 is about 484.2468062559.

The spelling of 113553440 in words is "one hundred thirteen million, five hundred fifty-three thousand, four hundred forty".