113744880 has 120 divisors (see below), whose sum is σ = 384171840. Its totient is φ = 30159360.

The previous prime is 113744863. The next prime is 113744881. The reversal of 113744880 is 88447311.

113744880 is a `hidden beast` number, since 1 + 137 + 448 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113744881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171750 + ... + 172410.

It is an arithmetic number, because the mean of its divisors is an integer number (3201432).

Almost surely, 2^113744880 is an apocalyptic number.

113744880 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 113744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192085920).

113744880 is an abundant number, since it is smaller than the sum of its proper divisors (270426960).

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

113744880 is a wasteful number, since it uses less digits than its factorization.

113744880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 113744880 is about 10665.1244718475. The cubic root of 113744880 is about 484.5187843970.

The spelling of 113744880 in words is "one hundred thirteen million, seven hundred forty-four thousand, eight hundred eighty".