113733760 has 128 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 38178816.

The previous prime is 113733743. The next prime is 113733787. The reversal of 113733760 is 67337311.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 237201 + ... + 237679.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^113733760 is an apocalyptic number.

113733760 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 113733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

113733760 is an abundant number, since it is smaller than the sum of its proper divisors (203527040).

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

113733760 is an equidigital number, since it uses as much as digits as its factorization.

113733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 113733760 is about 10664.6031337317. The cubic root of 113733760 is about 484.5029946036.

The spelling of 113733760 in words is "one hundred thirteen million, seven hundred thirty-three thousand, seven hundred sixty".